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Finding the Fourth Proportional to 774.72, 1,068.48 and 578.40

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Solution

The fourth proportional to 774.72, 1,068.48 and 578.40 is: 797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.72 : 1,068.48 = 578.40 : x
  2. Step 2: Convert to fraction form
    774.72/1,068.48 = 578.40/x
  3. Step 3: Cross multiply
    774.72x = 1,068.48 × 578.40
  4. Step 4: Simplify right side
    774.72x = 618,008.83
  5. Step 5: Solve for x
    x = 618,008.83/774.72
  6. Step 6: Final answer
    x = 797.72

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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.