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Finding the Fourth Proportional to 699.04, 1,046.91 and 410.68

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Solution

The fourth proportional to 699.04, 1,046.91 and 410.68 is: 615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.04 : 1,046.91 = 410.68 : x
  2. Step 2: Convert to fraction form
    699.04/1,046.91 = 410.68/x
  3. Step 3: Cross multiply
    699.04x = 1,046.91 × 410.68
  4. Step 4: Simplify right side
    699.04x = 429,939.76
  5. Step 5: Solve for x
    x = 429,939.76/699.04
  6. Step 6: Final answer
    x = 615.05

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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.