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Finding the Fourth Proportional to 1,018.74, 1,527.15 and 402.89

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Solution

The fourth proportional to 1,018.74, 1,527.15 and 402.89 is: 603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.74 : 1,527.15 = 402.89 : x
  2. Step 2: Convert to fraction form
    1,018.74/1,527.15 = 402.89/x
  3. Step 3: Cross multiply
    1,018.74x = 1,527.15 × 402.89
  4. Step 4: Simplify right side
    1,018.74x = 615,265.83
  5. Step 5: Solve for x
    x = 615,265.83/1,018.74
  6. Step 6: Final answer
    x = 603.95

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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.