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Finding the Fourth Proportional to 750.16, 1,123.64 and 565.52

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Solution

The fourth proportional to 750.16, 1,123.64 and 565.52 is: 847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.16 : 1,123.64 = 565.52 : x
  2. Step 2: Convert to fraction form
    750.16/1,123.64 = 565.52/x
  3. Step 3: Cross multiply
    750.16x = 1,123.64 × 565.52
  4. Step 4: Simplify right side
    750.16x = 635,440.89
  5. Step 5: Solve for x
    x = 635,440.89/750.16
  6. Step 6: Final answer
    x = 847.07

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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.