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Finding the Fourth Proportional to 1,565.87, 2,348.85 and 470.24

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Solution

The fourth proportional to 1,565.87, 2,348.85 and 470.24 is: 705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.87 : 2,348.85 = 470.24 : x
  2. Step 2: Convert to fraction form
    1,565.87/2,348.85 = 470.24/x
  3. Step 3: Cross multiply
    1,565.87x = 2,348.85 × 470.24
  4. Step 4: Simplify right side
    1,565.87x = 1,104,522.05
  5. Step 5: Solve for x
    x = 1,104,522.05/1,565.87
  6. Step 6: Final answer
    x = 705.37

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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.