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Finding the Fourth Proportional to 689.04, 1,028.57 and 572.40

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Solution

The fourth proportional to 689.04, 1,028.57 and 572.40 is: 854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.04 : 1,028.57 = 572.40 : x
  2. Step 2: Convert to fraction form
    689.04/1,028.57 = 572.40/x
  3. Step 3: Cross multiply
    689.04x = 1,028.57 × 572.40
  4. Step 4: Simplify right side
    689.04x = 588,750.61
  5. Step 5: Solve for x
    x = 588,750.61/689.04
  6. Step 6: Final answer
    x = 854.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.