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Finding the Fourth Proportional to 750.08, 1,123.28 and 532.64

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Solution

The fourth proportional to 750.08, 1,123.28 and 532.64 is: 797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.08 : 1,123.28 = 532.64 : x
  2. Step 2: Convert to fraction form
    750.08/1,123.28 = 532.64/x
  3. Step 3: Cross multiply
    750.08x = 1,123.28 × 532.64
  4. Step 4: Simplify right side
    750.08x = 598,303.86
  5. Step 5: Solve for x
    x = 598,303.86/750.08
  6. Step 6: Final answer
    x = 797.65

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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.