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Finding the Fourth Proportional to 1,038.84, 1,432.41 and 773.74

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Solution

The fourth proportional to 1,038.84, 1,432.41 and 773.74 is: 1,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.84 : 1,432.41 = 773.74 : x
  2. Step 2: Convert to fraction form
    1,038.84/1,432.41 = 773.74/x
  3. Step 3: Cross multiply
    1,038.84x = 1,432.41 × 773.74
  4. Step 4: Simplify right side
    1,038.84x = 1,108,312.91
  5. Step 5: Solve for x
    x = 1,108,312.91/1,038.84
  6. Step 6: Final answer
    x = 1,066.88

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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.