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Finding the Fourth Proportional to 709.94, 1,065.90 and 468.02

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Solution

The fourth proportional to 709.94, 1,065.90 and 468.02 is: 702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.94 : 1,065.90 = 468.02 : x
  2. Step 2: Convert to fraction form
    709.94/1,065.90 = 468.02/x
  3. Step 3: Cross multiply
    709.94x = 1,065.90 × 468.02
  4. Step 4: Simplify right side
    709.94x = 498,862.52
  5. Step 5: Solve for x
    x = 498,862.52/709.94
  6. Step 6: Final answer
    x = 702.68

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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.