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Finding the Fourth Proportional to 1,259.34, 1,733.67 and 1,062.78

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Solution

The fourth proportional to 1,259.34, 1,733.67 and 1,062.78 is: 1,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.34 : 1,733.67 = 1,062.78 : x
  2. Step 2: Convert to fraction form
    1,259.34/1,733.67 = 1,062.78/x
  3. Step 3: Cross multiply
    1,259.34x = 1,733.67 × 1,062.78
  4. Step 4: Simplify right side
    1,259.34x = 1,842,509.80
  5. Step 5: Solve for x
    x = 1,842,509.80/1,259.34
  6. Step 6: Final answer
    x = 1,463.08

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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.