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Finding the Fourth Proportional to 1,001.26, 1,502.16 and 904.87

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Solution

The fourth proportional to 1,001.26, 1,502.16 and 904.87 is: 1,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.26 : 1,502.16 = 904.87 : x
  2. Step 2: Convert to fraction form
    1,001.26/1,502.16 = 904.87/x
  3. Step 3: Cross multiply
    1,001.26x = 1,502.16 × 904.87
  4. Step 4: Simplify right side
    1,001.26x = 1,359,247.48
  5. Step 5: Solve for x
    x = 1,359,247.48/1,001.26
  6. Step 6: Final answer
    x = 1,357.54

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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.