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Finding the Fourth Proportional to 1,340.25, 2,010.35 and 463.39

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Solution

The fourth proportional to 1,340.25, 2,010.35 and 463.39 is: 695.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.25 : 2,010.35 = 463.39 : x
  2. Step 2: Convert to fraction form
    1,340.25/2,010.35 = 463.39/x
  3. Step 3: Cross multiply
    1,340.25x = 2,010.35 × 463.39
  4. Step 4: Simplify right side
    1,340.25x = 931,572.22
  5. Step 5: Solve for x
    x = 931,572.22/1,340.25
  6. Step 6: Final answer
    x = 695.08

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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.