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Finding the Fourth Proportional to 698.46, 1,047.28 and 373.65

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Solution

The fourth proportional to 698.46, 1,047.28 and 373.65 is: 560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.46 : 1,047.28 = 373.65 : x
  2. Step 2: Convert to fraction form
    698.46/1,047.28 = 373.65/x
  3. Step 3: Cross multiply
    698.46x = 1,047.28 × 373.65
  4. Step 4: Simplify right side
    698.46x = 391,309.07
  5. Step 5: Solve for x
    x = 391,309.07/698.46
  6. Step 6: Final answer
    x = 560.25

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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.