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Finding the Fourth Proportional to 1,131.02, 1,697.68 and 783.15

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Solution

The fourth proportional to 1,131.02, 1,697.68 and 783.15 is: 1,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.02 : 1,697.68 = 783.15 : x
  2. Step 2: Convert to fraction form
    1,131.02/1,697.68 = 783.15/x
  3. Step 3: Cross multiply
    1,131.02x = 1,697.68 × 783.15
  4. Step 4: Simplify right side
    1,131.02x = 1,329,537.85
  5. Step 5: Solve for x
    x = 1,329,537.85/1,131.02
  6. Step 6: Final answer
    x = 1,175.52

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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.