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Finding the Fourth Proportional to 1,234.59, 1,703.67 and 675.02

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Solution

The fourth proportional to 1,234.59, 1,703.67 and 675.02 is: 931.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.59 : 1,703.67 = 675.02 : x
  2. Step 2: Convert to fraction form
    1,234.59/1,703.67 = 675.02/x
  3. Step 3: Cross multiply
    1,234.59x = 1,703.67 × 675.02
  4. Step 4: Simplify right side
    1,234.59x = 1,150,002.81
  5. Step 5: Solve for x
    x = 1,150,002.81/1,234.59
  6. Step 6: Final answer
    x = 931.49

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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.