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Finding the Fourth Proportional to 1,125.57, 1,551.16 and 810.28

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Solution

The fourth proportional to 1,125.57, 1,551.16 and 810.28 is: 1,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.57 : 1,551.16 = 810.28 : x
  2. Step 2: Convert to fraction form
    1,125.57/1,551.16 = 810.28/x
  3. Step 3: Cross multiply
    1,125.57x = 1,551.16 × 810.28
  4. Step 4: Simplify right side
    1,125.57x = 1,256,873.92
  5. Step 5: Solve for x
    x = 1,256,873.92/1,125.57
  6. Step 6: Final answer
    x = 1,116.66

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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.