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Finding the Fourth Proportional to 746.47, 1,118.56 and 313.39

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Solution

The fourth proportional to 746.47, 1,118.56 and 313.39 is: 469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.47 : 1,118.56 = 313.39 : x
  2. Step 2: Convert to fraction form
    746.47/1,118.56 = 313.39/x
  3. Step 3: Cross multiply
    746.47x = 1,118.56 × 313.39
  4. Step 4: Simplify right side
    746.47x = 350,545.52
  5. Step 5: Solve for x
    x = 350,545.52/746.47
  6. Step 6: Final answer
    x = 469.60

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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.