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Finding the Fourth Proportional to 1,111.55, 1,670.76 and 703.31

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Solution

The fourth proportional to 1,111.55, 1,670.76 and 703.31 is: 1,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.55 : 1,670.76 = 703.31 : x
  2. Step 2: Convert to fraction form
    1,111.55/1,670.76 = 703.31/x
  3. Step 3: Cross multiply
    1,111.55x = 1,670.76 × 703.31
  4. Step 4: Simplify right side
    1,111.55x = 1,175,053.86
  5. Step 5: Solve for x
    x = 1,175,053.86/1,111.55
  6. Step 6: Final answer
    x = 1,057.14

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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.