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Finding the Fourth Proportional to 687, 1,030.98 and 459.48

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Solution

The fourth proportional to 687, 1,030.98 and 459.48 is: 689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    687 : 1,030.98 = 459.48 : x
  2. Step 2: Convert to fraction form
    687/1,030.98 = 459.48/x
  3. Step 3: Cross multiply
    687x = 1,030.98 × 459.48
  4. Step 4: Simplify right side
    687x = 473,714.69
  5. Step 5: Solve for x
    x = 473,714.69/687
  6. Step 6: Final answer
    x = 689.54

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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.