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Finding the Fourth Proportional to 699.33, 1,049.13 and 456.06

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Solution

The fourth proportional to 699.33, 1,049.13 and 456.06 is: 684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.33 : 1,049.13 = 456.06 : x
  2. Step 2: Convert to fraction form
    699.33/1,049.13 = 456.06/x
  3. Step 3: Cross multiply
    699.33x = 1,049.13 × 456.06
  4. Step 4: Simplify right side
    699.33x = 478,466.23
  5. Step 5: Solve for x
    x = 478,466.23/699.33
  6. Step 6: Final answer
    x = 684.18

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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.