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Finding the Fourth Proportional to 697.35, 1,040.57 and 693.30

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Solution

The fourth proportional to 697.35, 1,040.57 and 693.30 is: 1,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.35 : 1,040.57 = 693.30 : x
  2. Step 2: Convert to fraction form
    697.35/1,040.57 = 693.30/x
  3. Step 3: Cross multiply
    697.35x = 1,040.57 × 693.30
  4. Step 4: Simplify right side
    697.35x = 721,423.71
  5. Step 5: Solve for x
    x = 721,423.71/697.35
  6. Step 6: Final answer
    x = 1,034.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.