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Finding the Fourth Proportional to 1,440.68, 1,988.58 and 974.92

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Solution

The fourth proportional to 1,440.68, 1,988.58 and 974.92 is: 1,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.68 : 1,988.58 = 974.92 : x
  2. Step 2: Convert to fraction form
    1,440.68/1,988.58 = 974.92/x
  3. Step 3: Cross multiply
    1,440.68x = 1,988.58 × 974.92
  4. Step 4: Simplify right side
    1,440.68x = 1,938,706.41
  5. Step 5: Solve for x
    x = 1,938,706.41/1,440.68
  6. Step 6: Final answer
    x = 1,345.69

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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.