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Finding the Fourth Proportional to 1,370.74, 2,056.83 and 877.42

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Solution

The fourth proportional to 1,370.74, 2,056.83 and 877.42 is: 1,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.74 : 2,056.83 = 877.42 : x
  2. Step 2: Convert to fraction form
    1,370.74/2,056.83 = 877.42/x
  3. Step 3: Cross multiply
    1,370.74x = 2,056.83 × 877.42
  4. Step 4: Simplify right side
    1,370.74x = 1,804,691.49
  5. Step 5: Solve for x
    x = 1,804,691.49/1,370.74
  6. Step 6: Final answer
    x = 1,316.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.