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Finding the Fourth Proportional to 750.45, 1,033.17 and 652.16

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Solution

The fourth proportional to 750.45, 1,033.17 and 652.16 is: 897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.45 : 1,033.17 = 652.16 : x
  2. Step 2: Convert to fraction form
    750.45/1,033.17 = 652.16/x
  3. Step 3: Cross multiply
    750.45x = 1,033.17 × 652.16
  4. Step 4: Simplify right side
    750.45x = 673,792.28
  5. Step 5: Solve for x
    x = 673,792.28/750.45
  6. Step 6: Final answer
    x = 897.85

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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.