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Finding the Fourth Proportional to 974.15, 1,459.53 and 698.88

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Solution

The fourth proportional to 974.15, 1,459.53 and 698.88 is: 1,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.15 : 1,459.53 = 698.88 : x
  2. Step 2: Convert to fraction form
    974.15/1,459.53 = 698.88/x
  3. Step 3: Cross multiply
    974.15x = 1,459.53 × 698.88
  4. Step 4: Simplify right side
    974.15x = 1,020,036.33
  5. Step 5: Solve for x
    x = 1,020,036.33/974.15
  6. Step 6: Final answer
    x = 1,047.11

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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.