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Finding the Fourth Proportional to 1,017.14, 1,525.44 and 286.74

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Solution

The fourth proportional to 1,017.14, 1,525.44 and 286.74 is: 430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.14 : 1,525.44 = 286.74 : x
  2. Step 2: Convert to fraction form
    1,017.14/1,525.44 = 286.74/x
  3. Step 3: Cross multiply
    1,017.14x = 1,525.44 × 286.74
  4. Step 4: Simplify right side
    1,017.14x = 437,404.67
  5. Step 5: Solve for x
    x = 437,404.67/1,017.14
  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.