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Finding the Fourth Proportional to 1,061.62, 1,594.02 and 916.51

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Solution

The fourth proportional to 1,061.62, 1,594.02 and 916.51 is: 1,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.62 : 1,594.02 = 916.51 : x
  2. Step 2: Convert to fraction form
    1,061.62/1,594.02 = 916.51/x
  3. Step 3: Cross multiply
    1,061.62x = 1,594.02 × 916.51
  4. Step 4: Simplify right side
    1,061.62x = 1,460,935.27
  5. Step 5: Solve for x
    x = 1,460,935.27/1,061.62
  6. Step 6: Final answer
    x = 1,376.14

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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.