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Finding the Fourth Proportional to 795.68, 1,188 and 746.47

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Solution

The fourth proportional to 795.68, 1,188 and 746.47 is: 1,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.68 : 1,188 = 746.47 : x
  2. Step 2: Convert to fraction form
    795.68/1,188 = 746.47/x
  3. Step 3: Cross multiply
    795.68x = 1,188 × 746.47
  4. Step 4: Simplify right side
    795.68x = 886,807.85
  5. Step 5: Solve for x
    x = 886,807.85/795.68
  6. Step 6: Final answer
    x = 1,114.53

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Double scale
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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.