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Finding the Fourth Proportional to 1,137.50, 1,706.28 and 315.78

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Solution

The fourth proportional to 1,137.50, 1,706.28 and 315.78 is: 473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.50 : 1,706.28 = 315.78 : x
  2. Step 2: Convert to fraction form
    1,137.50/1,706.28 = 315.78/x
  3. Step 3: Cross multiply
    1,137.50x = 1,706.28 × 315.78
  4. Step 4: Simplify right side
    1,137.50x = 538,809.10
  5. Step 5: Solve for x
    x = 538,809.10/1,137.50
  6. Step 6: Final answer
    x = 473.68

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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.