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Finding the Fourth Proportional to 750.86, 1,036.24 and 699.02

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Solution

The fourth proportional to 750.86, 1,036.24 and 699.02 is: 964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.86 : 1,036.24 = 699.02 : x
  2. Step 2: Convert to fraction form
    750.86/1,036.24 = 699.02/x
  3. Step 3: Cross multiply
    750.86x = 1,036.24 × 699.02
  4. Step 4: Simplify right side
    750.86x = 724,352.48
  5. Step 5: Solve for x
    x = 724,352.48/750.86
  6. Step 6: Final answer
    x = 964.70

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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.