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Finding the Fourth Proportional to 750.57, 1,035.75 and 470.82

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Solution

The fourth proportional to 750.57, 1,035.75 and 470.82 is: 649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.57 : 1,035.75 = 470.82 : x
  2. Step 2: Convert to fraction form
    750.57/1,035.75 = 470.82/x
  3. Step 3: Cross multiply
    750.57x = 1,035.75 × 470.82
  4. Step 4: Simplify right side
    750.57x = 487,649.46
  5. Step 5: Solve for x
    x = 487,649.46/750.57
  6. Step 6: Final answer
    x = 649.71

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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.