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Finding the Fourth Proportional to 1,560.73, 2,153.64 and 897.52

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Solution

The fourth proportional to 1,560.73, 2,153.64 and 897.52 is: 1,238.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.73 : 2,153.64 = 897.52 : x
  2. Step 2: Convert to fraction form
    1,560.73/2,153.64 = 897.52/x
  3. Step 3: Cross multiply
    1,560.73x = 2,153.64 × 897.52
  4. Step 4: Simplify right side
    1,560.73x = 1,932,934.97
  5. Step 5: Solve for x
    x = 1,932,934.97/1,560.73
  6. Step 6: Final answer
    x = 1,238.48

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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.