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Finding the Fourth Proportional to 1,017.30, 1,525.95 and 286.95

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Solution

The fourth proportional to 1,017.30, 1,525.95 and 286.95 is: 430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.30 : 1,525.95 = 286.95 : x
  2. Step 2: Convert to fraction form
    1,017.30/1,525.95 = 286.95/x
  3. Step 3: Cross multiply
    1,017.30x = 1,525.95 × 286.95
  4. Step 4: Simplify right side
    1,017.30x = 437,871.35
  5. Step 5: Solve for x
    x = 437,871.35/1,017.30
  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.