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Finding the Fourth Proportional to 1,138.18, 1,706.76 and 521.74

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Solution

The fourth proportional to 1,138.18, 1,706.76 and 521.74 is: 782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.18 : 1,706.76 = 521.74 : x
  2. Step 2: Convert to fraction form
    1,138.18/1,706.76 = 521.74/x
  3. Step 3: Cross multiply
    1,138.18x = 1,706.76 × 521.74
  4. Step 4: Simplify right side
    1,138.18x = 890,484.96
  5. Step 5: Solve for x
    x = 890,484.96/1,138.18
  6. Step 6: Final answer
    x = 782.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.