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Finding the Fourth Proportional to 864.76, 1,193.32 and 471.78

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Solution

The fourth proportional to 864.76, 1,193.32 and 471.78 is: 651.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.76 : 1,193.32 = 471.78 : x
  2. Step 2: Convert to fraction form
    864.76/1,193.32 = 471.78/x
  3. Step 3: Cross multiply
    864.76x = 1,193.32 × 471.78
  4. Step 4: Simplify right side
    864.76x = 562,984.51
  5. Step 5: Solve for x
    x = 562,984.51/864.76
  6. Step 6: Final answer
    x = 651.03

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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.