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Finding the Fourth Proportional to 1,258.98, 1,886.33 and 771.01

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Solution

The fourth proportional to 1,258.98, 1,886.33 and 771.01 is: 1,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.98 : 1,886.33 = 771.01 : x
  2. Step 2: Convert to fraction form
    1,258.98/1,886.33 = 771.01/x
  3. Step 3: Cross multiply
    1,258.98x = 1,886.33 × 771.01
  4. Step 4: Simplify right side
    1,258.98x = 1,454,376.50
  5. Step 5: Solve for x
    x = 1,454,376.50/1,258.98
  6. Step 6: Final answer
    x = 1,155.21

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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.