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Finding the Fourth Proportional to 752.12, 1,035.98 and 709.34

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Solution

The fourth proportional to 752.12, 1,035.98 and 709.34 is: 977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.12 : 1,035.98 = 709.34 : x
  2. Step 2: Convert to fraction form
    752.12/1,035.98 = 709.34/x
  3. Step 3: Cross multiply
    752.12x = 1,035.98 × 709.34
  4. Step 4: Simplify right side
    752.12x = 734,862.05
  5. Step 5: Solve for x
    x = 734,862.05/752.12
  6. Step 6: Final answer
    x = 977.05

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Double scale
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1.5x scale

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.