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Finding the Fourth Proportional to 652.07, 977.19 and 469.05

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Solution

The fourth proportional to 652.07, 977.19 and 469.05 is: 702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.07 : 977.19 = 469.05 : x
  2. Step 2: Convert to fraction form
    652.07/977.19 = 469.05/x
  3. Step 3: Cross multiply
    652.07x = 977.19 × 469.05
  4. Step 4: Simplify right side
    652.07x = 458,350.97
  5. Step 5: Solve for x
    x = 458,350.97/652.07
  6. Step 6: Final answer
    x = 702.92

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