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Finding the Fourth Proportional to 864.47, 1,193.64 and 678.88

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Solution

The fourth proportional to 864.47, 1,193.64 and 678.88 is: 937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.47 : 1,193.64 = 678.88 : x
  2. Step 2: Convert to fraction form
    864.47/1,193.64 = 678.88/x
  3. Step 3: Cross multiply
    864.47x = 1,193.64 × 678.88
  4. Step 4: Simplify right side
    864.47x = 810,337.27
  5. Step 5: Solve for x
    x = 810,337.27/864.47
  6. Step 6: Final answer
    x = 937.38

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.