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Finding the Fourth Proportional to 1,132.06, 1,697.95 and 310.41

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Solution

The fourth proportional to 1,132.06, 1,697.95 and 310.41 is: 465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.06 : 1,697.95 = 310.41 : x
  2. Step 2: Convert to fraction form
    1,132.06/1,697.95 = 310.41/x
  3. Step 3: Cross multiply
    1,132.06x = 1,697.95 × 310.41
  4. Step 4: Simplify right side
    1,132.06x = 527,060.66
  5. Step 5: Solve for x
    x = 527,060.66/1,132.06
  6. Step 6: Final answer
    x = 465.58

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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.