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Finding the Fourth Proportional to 750.28, 1,035.33 and 470.50

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Solution

The fourth proportional to 750.28, 1,035.33 and 470.50 is: 649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.28 : 1,035.33 = 470.50 : x
  2. Step 2: Convert to fraction form
    750.28/1,035.33 = 470.50/x
  3. Step 3: Cross multiply
    750.28x = 1,035.33 × 470.50
  4. Step 4: Simplify right side
    750.28x = 487,124.53
  5. Step 5: Solve for x
    x = 487,124.53/750.28
  6. Step 6: Final answer
    x = 649.26

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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.