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Finding the Fourth Proportional to 707.36, 1,059.73 and 592.55

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Solution

The fourth proportional to 707.36, 1,059.73 and 592.55 is: 887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.36 : 1,059.73 = 592.55 : x
  2. Step 2: Convert to fraction form
    707.36/1,059.73 = 592.55/x
  3. Step 3: Cross multiply
    707.36x = 1,059.73 × 592.55
  4. Step 4: Simplify right side
    707.36x = 627,943.01
  5. Step 5: Solve for x
    x = 627,943.01/707.36
  6. Step 6: Final answer
    x = 887.73

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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.