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Finding the Fourth Proportional to 689.01, 1,033.80 and 457.98

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Solution

The fourth proportional to 689.01, 1,033.80 and 457.98 is: 687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.01 : 1,033.80 = 457.98 : x
  2. Step 2: Convert to fraction form
    689.01/1,033.80 = 457.98/x
  3. Step 3: Cross multiply
    689.01x = 1,033.80 × 457.98
  4. Step 4: Simplify right side
    689.01x = 473,459.72
  5. Step 5: Solve for x
    x = 473,459.72/689.01
  6. Step 6: Final answer
    x = 687.16

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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.