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Finding the Fourth Proportional to 787.78, 1,177.14 and 542.35

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Solution

The fourth proportional to 787.78, 1,177.14 and 542.35 is: 810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.78 : 1,177.14 = 542.35 : x
  2. Step 2: Convert to fraction form
    787.78/1,177.14 = 542.35/x
  3. Step 3: Cross multiply
    787.78x = 1,177.14 × 542.35
  4. Step 4: Simplify right side
    787.78x = 638,421.88
  5. Step 5: Solve for x
    x = 638,421.88/787.78
  6. Step 6: Final answer
    x = 810.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.