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Finding the Fourth Proportional to 1,569.20, 2,165.48 and 870.57

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Solution

The fourth proportional to 1,569.20, 2,165.48 and 870.57 is: 1,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.20 : 2,165.48 = 870.57 : x
  2. Step 2: Convert to fraction form
    1,569.20/2,165.48 = 870.57/x
  3. Step 3: Cross multiply
    1,569.20x = 2,165.48 × 870.57
  4. Step 4: Simplify right side
    1,569.20x = 1,885,204.10
  5. Step 5: Solve for x
    x = 1,885,204.10/1,569.20
  6. Step 6: Final answer
    x = 1,201.38

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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.