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Finding the Fourth Proportional to 1,005.03, 1,507.58 and 748.14

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Solution

The fourth proportional to 1,005.03, 1,507.58 and 748.14 is: 1,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.03 : 1,507.58 = 748.14 : x
  2. Step 2: Convert to fraction form
    1,005.03/1,507.58 = 748.14/x
  3. Step 3: Cross multiply
    1,005.03x = 1,507.58 × 748.14
  4. Step 4: Simplify right side
    1,005.03x = 1,127,877.16
  5. Step 5: Solve for x
    x = 1,127,877.16/1,005.03
  6. Step 6: Final answer
    x = 1,122.23

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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.