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Finding the Fourth Proportional to 749.13, 1,033.50 and 512.70

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Solution

The fourth proportional to 749.13, 1,033.50 and 512.70 is: 707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.13 : 1,033.50 = 512.70 : x
  2. Step 2: Convert to fraction form
    749.13/1,033.50 = 512.70/x
  3. Step 3: Cross multiply
    749.13x = 1,033.50 × 512.70
  4. Step 4: Simplify right side
    749.13x = 529,875.45
  5. Step 5: Solve for x
    x = 529,875.45/749.13
  6. Step 6: Final answer
    x = 707.32

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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.