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Finding the Fourth Proportional to 1,367.03, 2,045.68 and 787.07

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Solution

The fourth proportional to 1,367.03, 2,045.68 and 787.07 is: 1,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.03 : 2,045.68 = 787.07 : x
  2. Step 2: Convert to fraction form
    1,367.03/2,045.68 = 787.07/x
  3. Step 3: Cross multiply
    1,367.03x = 2,045.68 × 787.07
  4. Step 4: Simplify right side
    1,367.03x = 1,610,081.16
  5. Step 5: Solve for x
    x = 1,610,081.16/1,367.03
  6. Step 6: Final answer
    x = 1,177.80

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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.