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Finding the Fourth Proportional to 1,569.75, 2,354.67 and 459.24

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Solution

The fourth proportional to 1,569.75, 2,354.67 and 459.24 is: 688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.75 : 2,354.67 = 459.24 : x
  2. Step 2: Convert to fraction form
    1,569.75/2,354.67 = 459.24/x
  3. Step 3: Cross multiply
    1,569.75x = 2,354.67 × 459.24
  4. Step 4: Simplify right side
    1,569.75x = 1,081,349.82
  5. Step 5: Solve for x
    x = 1,081,349.82/1,569.75
  6. Step 6: Final answer
    x = 688.87

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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.