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Finding the Fourth Proportional to 1,001.87, 1,502.57 and 298.95

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Solution

The fourth proportional to 1,001.87, 1,502.57 and 298.95 is: 448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.87 : 1,502.57 = 298.95 : x
  2. Step 2: Convert to fraction form
    1,001.87/1,502.57 = 298.95/x
  3. Step 3: Cross multiply
    1,001.87x = 1,502.57 × 298.95
  4. Step 4: Simplify right side
    1,001.87x = 449,191.81
  5. Step 5: Solve for x
    x = 449,191.81/1,001.87
  6. Step 6: Final answer
    x = 448.35

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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.