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Finding the Fourth Proportional to 699.52, 1,047.68 and 670.08

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Solution

The fourth proportional to 699.52, 1,047.68 and 670.08 is: 1,003.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.52 : 1,047.68 = 670.08 : x
  2. Step 2: Convert to fraction form
    699.52/1,047.68 = 670.08/x
  3. Step 3: Cross multiply
    699.52x = 1,047.68 × 670.08
  4. Step 4: Simplify right side
    699.52x = 702,029.41
  5. Step 5: Solve for x
    x = 702,029.41/699.52
  6. Step 6: Final answer
    x = 1,003.59

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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.