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Finding the Fourth Proportional to 1,139.15, 1,706.45 and 522.24

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Solution

The fourth proportional to 1,139.15, 1,706.45 and 522.24 is: 782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.15 : 1,706.45 = 522.24 : x
  2. Step 2: Convert to fraction form
    1,139.15/1,706.45 = 522.24/x
  3. Step 3: Cross multiply
    1,139.15x = 1,706.45 × 522.24
  4. Step 4: Simplify right side
    1,139.15x = 891,176.45
  5. Step 5: Solve for x
    x = 891,176.45/1,139.15
  6. Step 6: Final answer
    x = 782.32

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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.