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Finding the Fourth Proportional to 1,258.93, 1,884.35 and 672.46

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Solution

The fourth proportional to 1,258.93, 1,884.35 and 672.46 is: 1,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.93 : 1,884.35 = 672.46 : x
  2. Step 2: Convert to fraction form
    1,258.93/1,884.35 = 672.46/x
  3. Step 3: Cross multiply
    1,258.93x = 1,884.35 × 672.46
  4. Step 4: Simplify right side
    1,258.93x = 1,267,159.27
  5. Step 5: Solve for x
    x = 1,267,159.27/1,258.93
  6. Step 6: Final answer
    x = 1,006.54

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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.