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Finding the Fourth Proportional to 1,560.76, 2,153.98 and 862.28

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Solution

The fourth proportional to 1,560.76, 2,153.98 and 862.28 is: 1,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.76 : 2,153.98 = 862.28 : x
  2. Step 2: Convert to fraction form
    1,560.76/2,153.98 = 862.28/x
  3. Step 3: Cross multiply
    1,560.76x = 2,153.98 × 862.28
  4. Step 4: Simplify right side
    1,560.76x = 1,857,333.87
  5. Step 5: Solve for x
    x = 1,857,333.87/1,560.76
  6. Step 6: Final answer
    x = 1,190.02

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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.