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Finding the Fourth Proportional to 1,440.24, 1,988.19 and 916.98

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Solution

The fourth proportional to 1,440.24, 1,988.19 and 916.98 is: 1,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.24 : 1,988.19 = 916.98 : x
  2. Step 2: Convert to fraction form
    1,440.24/1,988.19 = 916.98/x
  3. Step 3: Cross multiply
    1,440.24x = 1,988.19 × 916.98
  4. Step 4: Simplify right side
    1,440.24x = 1,823,130.47
  5. Step 5: Solve for x
    x = 1,823,130.47/1,440.24
  6. Step 6: Final answer
    x = 1,265.85

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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.