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Finding the Fourth Proportional to 689.07, 1,031.18 and 525.45

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Solution

The fourth proportional to 689.07, 1,031.18 and 525.45 is: 786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.07 : 1,031.18 = 525.45 : x
  2. Step 2: Convert to fraction form
    689.07/1,031.18 = 525.45/x
  3. Step 3: Cross multiply
    689.07x = 1,031.18 × 525.45
  4. Step 4: Simplify right side
    689.07x = 541,833.53
  5. Step 5: Solve for x
    x = 541,833.53/689.07
  6. Step 6: Final answer
    x = 786.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.