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Finding the Fourth Proportional to 1,560.34, 2,153.63 and 897.57

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Solution

The fourth proportional to 1,560.34, 2,153.63 and 897.57 is: 1,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.34 : 2,153.63 = 897.57 : x
  2. Step 2: Convert to fraction form
    1,560.34/2,153.63 = 897.57/x
  3. Step 3: Cross multiply
    1,560.34x = 2,153.63 × 897.57
  4. Step 4: Simplify right side
    1,560.34x = 1,933,029.19
  5. Step 5: Solve for x
    x = 1,933,029.19/1,560.34
  6. Step 6: Final answer
    x = 1,238.85

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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.