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Finding the Fourth Proportional to 1,516.72, 2,275.40 and 476.68

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Solution

The fourth proportional to 1,516.72, 2,275.40 and 476.68 is: 715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.72 : 2,275.40 = 476.68 : x
  2. Step 2: Convert to fraction form
    1,516.72/2,275.40 = 476.68/x
  3. Step 3: Cross multiply
    1,516.72x = 2,275.40 × 476.68
  4. Step 4: Simplify right side
    1,516.72x = 1,084,637.67
  5. Step 5: Solve for x
    x = 1,084,637.67/1,516.72
  6. Step 6: Final answer
    x = 715.12

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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.