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Finding the Fourth Proportional to 750.34, 1,035.92 and 470.99

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Solution

The fourth proportional to 750.34, 1,035.92 and 470.99 is: 650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.34 : 1,035.92 = 470.99 : x
  2. Step 2: Convert to fraction form
    750.34/1,035.92 = 470.99/x
  3. Step 3: Cross multiply
    750.34x = 1,035.92 × 470.99
  4. Step 4: Simplify right side
    750.34x = 487,907.96
  5. Step 5: Solve for x
    x = 487,907.96/750.34
  6. Step 6: Final answer
    x = 650.25

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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.