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Finding the Fourth Proportional to 738.36, 1,102.53 and 670.20

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Solution

The fourth proportional to 738.36, 1,102.53 and 670.20 is: 1,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.36 : 1,102.53 = 670.20 : x
  2. Step 2: Convert to fraction form
    738.36/1,102.53 = 670.20/x
  3. Step 3: Cross multiply
    738.36x = 1,102.53 × 670.20
  4. Step 4: Simplify right side
    738.36x = 738,915.61
  5. Step 5: Solve for x
    x = 738,915.61/738.36
  6. Step 6: Final answer
    x = 1,000.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.