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Finding the Fourth Proportional to 1,137.07, 1,706.01 and 520.93

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Solution

The fourth proportional to 1,137.07, 1,706.01 and 520.93 is: 781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.07 : 1,706.01 = 520.93 : x
  2. Step 2: Convert to fraction form
    1,137.07/1,706.01 = 520.93/x
  3. Step 3: Cross multiply
    1,137.07x = 1,706.01 × 520.93
  4. Step 4: Simplify right side
    1,137.07x = 888,711.79
  5. Step 5: Solve for x
    x = 888,711.79/1,137.07
  6. Step 6: Final answer
    x = 781.58

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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.