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Finding the Fourth Proportional to 876.98, 1,316.33 and 724.46

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Solution

The fourth proportional to 876.98, 1,316.33 and 724.46 is: 1,087.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.98 : 1,316.33 = 724.46 : x
  2. Step 2: Convert to fraction form
    876.98/1,316.33 = 724.46/x
  3. Step 3: Cross multiply
    876.98x = 1,316.33 × 724.46
  4. Step 4: Simplify right side
    876.98x = 953,624.81
  5. Step 5: Solve for x
    x = 953,624.81/876.98
  6. Step 6: Final answer
    x = 1,087.40

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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.