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Finding the Fourth Proportional to 1,153.56, 1,591.08 and 687.78

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Solution

The fourth proportional to 1,153.56, 1,591.08 and 687.78 is: 948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.56 : 1,591.08 = 687.78 : x
  2. Step 2: Convert to fraction form
    1,153.56/1,591.08 = 687.78/x
  3. Step 3: Cross multiply
    1,153.56x = 1,591.08 × 687.78
  4. Step 4: Simplify right side
    1,153.56x = 1,094,313.00
  5. Step 5: Solve for x
    x = 1,094,313.00/1,153.56
  6. Step 6: Final answer
    x = 948.64

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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.