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Finding the Fourth Proportional to 1,045.76, 1,565.56 and 916.01

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Solution

The fourth proportional to 1,045.76, 1,565.56 and 916.01 is: 1,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.76 : 1,565.56 = 916.01 : x
  2. Step 2: Convert to fraction form
    1,045.76/1,565.56 = 916.01/x
  3. Step 3: Cross multiply
    1,045.76x = 1,565.56 × 916.01
  4. Step 4: Simplify right side
    1,045.76x = 1,434,070.11
  5. Step 5: Solve for x
    x = 1,434,070.11/1,045.76
  6. Step 6: Final answer
    x = 1,371.32

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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.