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Finding the Fourth Proportional to 1,124.60, 1,685.78 and 538.52

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Solution

The fourth proportional to 1,124.60, 1,685.78 and 538.52 is: 807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.60 : 1,685.78 = 538.52 : x
  2. Step 2: Convert to fraction form
    1,124.60/1,685.78 = 538.52/x
  3. Step 3: Cross multiply
    1,124.60x = 1,685.78 × 538.52
  4. Step 4: Simplify right side
    1,124.60x = 907,826.25
  5. Step 5: Solve for x
    x = 907,826.25/1,124.60
  6. Step 6: Final answer
    x = 807.24

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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.