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Finding the Fourth Proportional to 1,377.95, 1,901.61 and 788.54

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Solution

The fourth proportional to 1,377.95, 1,901.61 and 788.54 is: 1,088.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.95 : 1,901.61 = 788.54 : x
  2. Step 2: Convert to fraction form
    1,377.95/1,901.61 = 788.54/x
  3. Step 3: Cross multiply
    1,377.95x = 1,901.61 × 788.54
  4. Step 4: Simplify right side
    1,377.95x = 1,499,486.04
  5. Step 5: Solve for x
    x = 1,499,486.04/1,377.95
  6. Step 6: Final answer
    x = 1,088.20

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