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Finding the Fourth Proportional to 1,308.65, 1,806.98 and 1,013.40

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Solution

The fourth proportional to 1,308.65, 1,806.98 and 1,013.40 is: 1,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.65 : 1,806.98 = 1,013.40 : x
  2. Step 2: Convert to fraction form
    1,308.65/1,806.98 = 1,013.40/x
  3. Step 3: Cross multiply
    1,308.65x = 1,806.98 × 1,013.40
  4. Step 4: Simplify right side
    1,308.65x = 1,831,188.47
  5. Step 5: Solve for x
    x = 1,831,188.47/1,308.65
  6. Step 6: Final answer
    x = 1,399.30

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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.