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Finding the Fourth Proportional to 1,150.62, 1,725 and 565.74

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Solution

The fourth proportional to 1,150.62, 1,725 and 565.74 is: 848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.62 : 1,725 = 565.74 : x
  2. Step 2: Convert to fraction form
    1,150.62/1,725 = 565.74/x
  3. Step 3: Cross multiply
    1,150.62x = 1,725 × 565.74
  4. Step 4: Simplify right side
    1,150.62x = 975,901.50
  5. Step 5: Solve for x
    x = 975,901.50/1,150.62
  6. Step 6: Final answer
    x = 848.15

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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.