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Finding the Fourth Proportional to 1,017.24, 1,525.62 and 286.65

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Solution

The fourth proportional to 1,017.24, 1,525.62 and 286.65 is: 429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.24 : 1,525.62 = 286.65 : x
  2. Step 2: Convert to fraction form
    1,017.24/1,525.62 = 286.65/x
  3. Step 3: Cross multiply
    1,017.24x = 1,525.62 × 286.65
  4. Step 4: Simplify right side
    1,017.24x = 437,318.97
  5. Step 5: Solve for x
    x = 437,318.97/1,017.24
  6. Step 6: Final answer
    x = 429.91

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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.