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Finding the Fourth Proportional to 1,008.95, 1,512.66 and 384.14

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Solution

The fourth proportional to 1,008.95, 1,512.66 and 384.14 is: 575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.95 : 1,512.66 = 384.14 : x
  2. Step 2: Convert to fraction form
    1,008.95/1,512.66 = 384.14/x
  3. Step 3: Cross multiply
    1,008.95x = 1,512.66 × 384.14
  4. Step 4: Simplify right side
    1,008.95x = 581,065.65
  5. Step 5: Solve for x
    x = 581,065.65/1,008.95
  6. Step 6: Final answer
    x = 575.91

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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.