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Finding the Fourth Proportional to 750.69, 1,035.86 and 489.06

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Solution

The fourth proportional to 750.69, 1,035.86 and 489.06 is: 674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.69 : 1,035.86 = 489.06 : x
  2. Step 2: Convert to fraction form
    750.69/1,035.86 = 489.06/x
  3. Step 3: Cross multiply
    750.69x = 1,035.86 × 489.06
  4. Step 4: Simplify right side
    750.69x = 506,595.25
  5. Step 5: Solve for x
    x = 506,595.25/750.69
  6. Step 6: Final answer
    x = 674.84

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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.