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Finding the Fourth Proportional to 1,017.12, 1,525.67 and 286.69

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Solution

The fourth proportional to 1,017.12, 1,525.67 and 286.69 is: 430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.12 : 1,525.67 = 286.69 : x
  2. Step 2: Convert to fraction form
    1,017.12/1,525.67 = 286.69/x
  3. Step 3: Cross multiply
    1,017.12x = 1,525.67 × 286.69
  4. Step 4: Simplify right side
    1,017.12x = 437,394.33
  5. Step 5: Solve for x
    x = 437,394.33/1,017.12
  6. Step 6: Final answer
    x = 430.03

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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.