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Finding the Fourth Proportional to 1,034.32, 1,551.58 and 340.80

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Solution

The fourth proportional to 1,034.32, 1,551.58 and 340.80 is: 511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.32 : 1,551.58 = 340.80 : x
  2. Step 2: Convert to fraction form
    1,034.32/1,551.58 = 340.80/x
  3. Step 3: Cross multiply
    1,034.32x = 1,551.58 × 340.80
  4. Step 4: Simplify right side
    1,034.32x = 528,778.46
  5. Step 5: Solve for x
    x = 528,778.46/1,034.32
  6. Step 6: Final answer
    x = 511.23

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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.