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Finding the Fourth Proportional to 701.69, 1,053.45 and 594.16

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Solution

The fourth proportional to 701.69, 1,053.45 and 594.16 is: 892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.69 : 1,053.45 = 594.16 : x
  2. Step 2: Convert to fraction form
    701.69/1,053.45 = 594.16/x
  3. Step 3: Cross multiply
    701.69x = 1,053.45 × 594.16
  4. Step 4: Simplify right side
    701.69x = 625,915.22
  5. Step 5: Solve for x
    x = 625,915.22/701.69
  6. Step 6: Final answer
    x = 892.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.