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Finding the Fourth Proportional to 1,151.14, 1,725.06 and 565.69

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Solution

The fourth proportional to 1,151.14, 1,725.06 and 565.69 is: 847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.14 : 1,725.06 = 565.69 : x
  2. Step 2: Convert to fraction form
    1,151.14/1,725.06 = 565.69/x
  3. Step 3: Cross multiply
    1,151.14x = 1,725.06 × 565.69
  4. Step 4: Simplify right side
    1,151.14x = 975,849.19
  5. Step 5: Solve for x
    x = 975,849.19/1,151.14
  6. Step 6: Final answer
    x = 847.72

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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.