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Finding the Fourth Proportional to 697.04, 960.90 and 497.75

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Solution

The fourth proportional to 697.04, 960.90 and 497.75 is: 686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.04 : 960.90 = 497.75 : x
  2. Step 2: Convert to fraction form
    697.04/960.90 = 497.75/x
  3. Step 3: Cross multiply
    697.04x = 960.90 × 497.75
  4. Step 4: Simplify right side
    697.04x = 478,281.30
  5. Step 5: Solve for x
    x = 478,281.30/697.04
  6. Step 6: Final answer
    x = 686.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.