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Finding the Fourth Proportional to 1,569.38, 2,165.78 and 870.80

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Solution

The fourth proportional to 1,569.38, 2,165.78 and 870.80 is: 1,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.38 : 2,165.78 = 870.80 : x
  2. Step 2: Convert to fraction form
    1,569.38/2,165.78 = 870.80/x
  3. Step 3: Cross multiply
    1,569.38x = 2,165.78 × 870.80
  4. Step 4: Simplify right side
    1,569.38x = 1,885,952.57
  5. Step 5: Solve for x
    x = 1,885,952.57/1,569.38
  6. Step 6: Final answer
    x = 1,201.72

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1.5x scale

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.