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Finding the Fourth Proportional to 1,564.11, 2,345.69 and 468.18

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Solution

The fourth proportional to 1,564.11, 2,345.69 and 468.18 is: 702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.11 : 2,345.69 = 468.18 : x
  2. Step 2: Convert to fraction form
    1,564.11/2,345.69 = 468.18/x
  3. Step 3: Cross multiply
    1,564.11x = 2,345.69 × 468.18
  4. Step 4: Simplify right side
    1,564.11x = 1,098,206.31
  5. Step 5: Solve for x
    x = 1,098,206.31/1,564.11
  6. Step 6: Final answer
    x = 702.13

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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.