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Finding the Fourth Proportional to 697.12, 1,045.67 and 286.25

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Solution

The fourth proportional to 697.12, 1,045.67 and 286.25 is: 429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.12 : 1,045.67 = 286.25 : x
  2. Step 2: Convert to fraction form
    697.12/1,045.67 = 286.25/x
  3. Step 3: Cross multiply
    697.12x = 1,045.67 × 286.25
  4. Step 4: Simplify right side
    697.12x = 299,323.04
  5. Step 5: Solve for x
    x = 299,323.04/697.12
  6. Step 6: Final answer
    x = 429.37

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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.