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Finding the Fourth Proportional to 1,132.87, 1,563.95 and 880.23

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Solution

The fourth proportional to 1,132.87, 1,563.95 and 880.23 is: 1,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.87 : 1,563.95 = 880.23 : x
  2. Step 2: Convert to fraction form
    1,132.87/1,563.95 = 880.23/x
  3. Step 3: Cross multiply
    1,132.87x = 1,563.95 × 880.23
  4. Step 4: Simplify right side
    1,132.87x = 1,376,640.47
  5. Step 5: Solve for x
    x = 1,376,640.47/1,132.87
  6. Step 6: Final answer
    x = 1,215.18

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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.