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Finding the Fourth Proportional to 898.50, 1,347.72 and 742.98

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Solution

The fourth proportional to 898.50, 1,347.72 and 742.98 is: 1,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.50 : 1,347.72 = 742.98 : x
  2. Step 2: Convert to fraction form
    898.50/1,347.72 = 742.98/x
  3. Step 3: Cross multiply
    898.50x = 1,347.72 × 742.98
  4. Step 4: Simplify right side
    898.50x = 1,001,329.01
  5. Step 5: Solve for x
    x = 1,001,329.01/898.50
  6. Step 6: Final answer
    x = 1,114.45

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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.