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Finding the Fourth Proportional to 749.66, 1,033.36 and 735.08

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Solution

The fourth proportional to 749.66, 1,033.36 and 735.08 is: 1,013.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.66 : 1,033.36 = 735.08 : x
  2. Step 2: Convert to fraction form
    749.66/1,033.36 = 735.08/x
  3. Step 3: Cross multiply
    749.66x = 1,033.36 × 735.08
  4. Step 4: Simplify right side
    749.66x = 759,595.26
  5. Step 5: Solve for x
    x = 759,595.26/749.66
  6. Step 6: Final answer
    x = 1,013.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.