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Finding the Fourth Proportional to 1,017.31, 1,525.97 and 286.95

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Solution

The fourth proportional to 1,017.31, 1,525.97 and 286.95 is: 430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.31 : 1,525.97 = 286.95 : x
  2. Step 2: Convert to fraction form
    1,017.31/1,525.97 = 286.95/x
  3. Step 3: Cross multiply
    1,017.31x = 1,525.97 × 286.95
  4. Step 4: Simplify right side
    1,017.31x = 437,877.09
  5. Step 5: Solve for x
    x = 437,877.09/1,017.31
  6. Step 6: Final answer
    x = 430.43

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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.