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Finding the Fourth Proportional to 1,138.16, 1,706.74 and 522.07

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Solution

The fourth proportional to 1,138.16, 1,706.74 and 522.07 is: 782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.16 : 1,706.74 = 522.07 : x
  2. Step 2: Convert to fraction form
    1,138.16/1,706.74 = 522.07/x
  3. Step 3: Cross multiply
    1,138.16x = 1,706.74 × 522.07
  4. Step 4: Simplify right side
    1,138.16x = 891,032.18
  5. Step 5: Solve for x
    x = 891,032.18/1,138.16
  6. Step 6: Final answer
    x = 782.87

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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.