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Finding the Fourth Proportional to 1,497.67, 2,245.47 and 766.75

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Solution

The fourth proportional to 1,497.67, 2,245.47 and 766.75 is: 1,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.67 : 2,245.47 = 766.75 : x
  2. Step 2: Convert to fraction form
    1,497.67/2,245.47 = 766.75/x
  3. Step 3: Cross multiply
    1,497.67x = 2,245.47 × 766.75
  4. Step 4: Simplify right side
    1,497.67x = 1,721,714.12
  5. Step 5: Solve for x
    x = 1,721,714.12/1,497.67
  6. Step 6: Final answer
    x = 1,149.60

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1.5x scale

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.