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Finding the Fourth Proportional to 699.30, 1,048.07 and 410.02

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Solution

The fourth proportional to 699.30, 1,048.07 and 410.02 is: 614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.30 : 1,048.07 = 410.02 : x
  2. Step 2: Convert to fraction form
    699.30/1,048.07 = 410.02/x
  3. Step 3: Cross multiply
    699.30x = 1,048.07 × 410.02
  4. Step 4: Simplify right side
    699.30x = 429,729.66
  5. Step 5: Solve for x
    x = 429,729.66/699.30
  6. Step 6: Final answer
    x = 614.51

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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.