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Finding the Fourth Proportional to 1,565.75, 2,160.71 and 902.57

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Solution

The fourth proportional to 1,565.75, 2,160.71 and 902.57 is: 1,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.75 : 2,160.71 = 902.57 : x
  2. Step 2: Convert to fraction form
    1,565.75/2,160.71 = 902.57/x
  3. Step 3: Cross multiply
    1,565.75x = 2,160.71 × 902.57
  4. Step 4: Simplify right side
    1,565.75x = 1,950,176.71
  5. Step 5: Solve for x
    x = 1,950,176.71/1,565.75
  6. Step 6: Final answer
    x = 1,245.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.