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Finding the Fourth Proportional to 1,046.73, 1,445.46 and 674.58

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Solution

The fourth proportional to 1,046.73, 1,445.46 and 674.58 is: 931.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.73 : 1,445.46 = 674.58 : x
  2. Step 2: Convert to fraction form
    1,046.73/1,445.46 = 674.58/x
  3. Step 3: Cross multiply
    1,046.73x = 1,445.46 × 674.58
  4. Step 4: Simplify right side
    1,046.73x = 975,078.41
  5. Step 5: Solve for x
    x = 975,078.41/1,046.73
  6. Step 6: Final answer
    x = 931.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.