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Finding the Fourth Proportional to 1,377.81, 1,901.15 and 788.35

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Solution

The fourth proportional to 1,377.81, 1,901.15 and 788.35 is: 1,087.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.81 : 1,901.15 = 788.35 : x
  2. Step 2: Convert to fraction form
    1,377.81/1,901.15 = 788.35/x
  3. Step 3: Cross multiply
    1,377.81x = 1,901.15 × 788.35
  4. Step 4: Simplify right side
    1,377.81x = 1,498,764.18
  5. Step 5: Solve for x
    x = 1,498,764.18/1,377.81
  6. Step 6: Final answer
    x = 1,087.79

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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.