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Finding the Fourth Proportional to 774.02, 1,161.32 and 688.00

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Solution

The fourth proportional to 774.02, 1,161.32 and 688.00 is: 1,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.02 : 1,161.32 = 688.00 : x
  2. Step 2: Convert to fraction form
    774.02/1,161.32 = 688.00/x
  3. Step 3: Cross multiply
    774.02x = 1,161.32 × 688.00
  4. Step 4: Simplify right side
    774.02x = 798,981.82
  5. Step 5: Solve for x
    x = 798,981.82/774.02
  6. Step 6: Final answer
    x = 1,032.26

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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.