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Finding the Fourth Proportional to 1,440.75, 1,988.25 and 916.77

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Solution

The fourth proportional to 1,440.75, 1,988.25 and 916.77 is: 1,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.75 : 1,988.25 = 916.77 : x
  2. Step 2: Convert to fraction form
    1,440.75/1,988.25 = 916.77/x
  3. Step 3: Cross multiply
    1,440.75x = 1,988.25 × 916.77
  4. Step 4: Simplify right side
    1,440.75x = 1,822,767.95
  5. Step 5: Solve for x
    x = 1,822,767.95/1,440.75
  6. Step 6: Final answer
    x = 1,265.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.