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Finding the Fourth Proportional to 750.09, 1,035.10 and 470.47

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Solution

The fourth proportional to 750.09, 1,035.10 and 470.47 is: 649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.09 : 1,035.10 = 470.47 : x
  2. Step 2: Convert to fraction form
    750.09/1,035.10 = 470.47/x
  3. Step 3: Cross multiply
    750.09x = 1,035.10 × 470.47
  4. Step 4: Simplify right side
    750.09x = 486,983.50
  5. Step 5: Solve for x
    x = 486,983.50/750.09
  6. Step 6: Final answer
    x = 649.23

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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.