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Finding the Fourth Proportional to 1,248.66, 1,871.76 and 599.04

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Solution

The fourth proportional to 1,248.66, 1,871.76 and 599.04 is: 897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.66 : 1,871.76 = 599.04 : x
  2. Step 2: Convert to fraction form
    1,248.66/1,871.76 = 599.04/x
  3. Step 3: Cross multiply
    1,248.66x = 1,871.76 × 599.04
  4. Step 4: Simplify right side
    1,248.66x = 1,121,259.11
  5. Step 5: Solve for x
    x = 1,121,259.11/1,248.66
  6. Step 6: Final answer
    x = 897.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.