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Finding the Fourth Proportional to 1,347.57, 1,859.67 and 750.11

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Solution

The fourth proportional to 1,347.57, 1,859.67 and 750.11 is: 1,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.57 : 1,859.67 = 750.11 : x
  2. Step 2: Convert to fraction form
    1,347.57/1,859.67 = 750.11/x
  3. Step 3: Cross multiply
    1,347.57x = 1,859.67 × 750.11
  4. Step 4: Simplify right side
    1,347.57x = 1,394,957.06
  5. Step 5: Solve for x
    x = 1,394,957.06/1,347.57
  6. Step 6: Final answer
    x = 1,035.16

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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.