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Finding the Fourth Proportional to 1,258.91, 1,886.94 and 565.95

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Solution

The fourth proportional to 1,258.91, 1,886.94 and 565.95 is: 848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.91 : 1,886.94 = 565.95 : x
  2. Step 2: Convert to fraction form
    1,258.91/1,886.94 = 565.95/x
  3. Step 3: Cross multiply
    1,258.91x = 1,886.94 × 565.95
  4. Step 4: Simplify right side
    1,258.91x = 1,067,913.69
  5. Step 5: Solve for x
    x = 1,067,913.69/1,258.91
  6. Step 6: Final answer
    x = 848.29

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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.