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Finding the Fourth Proportional to 1,167.84, 1,752.34 and 647.84

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Solution

The fourth proportional to 1,167.84, 1,752.34 and 647.84 is: 972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.84 : 1,752.34 = 647.84 : x
  2. Step 2: Convert to fraction form
    1,167.84/1,752.34 = 647.84/x
  3. Step 3: Cross multiply
    1,167.84x = 1,752.34 × 647.84
  4. Step 4: Simplify right side
    1,167.84x = 1,135,235.95
  5. Step 5: Solve for x
    x = 1,135,235.95/1,167.84
  6. Step 6: Final answer
    x = 972.08

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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.