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Finding the Fourth Proportional to 864.77, 1,193.18 and 510.59

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Solution

The fourth proportional to 864.77, 1,193.18 and 510.59 is: 704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.77 : 1,193.18 = 510.59 : x
  2. Step 2: Convert to fraction form
    864.77/1,193.18 = 510.59/x
  3. Step 3: Cross multiply
    864.77x = 1,193.18 × 510.59
  4. Step 4: Simplify right side
    864.77x = 609,217.26
  5. Step 5: Solve for x
    x = 609,217.26/864.77
  6. Step 6: Final answer
    x = 704.49

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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.