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Finding the Fourth Proportional to 1,295.40, 1,938.24 and 718.68

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Solution

The fourth proportional to 1,295.40, 1,938.24 and 718.68 is: 1,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.40 : 1,938.24 = 718.68 : x
  2. Step 2: Convert to fraction form
    1,295.40/1,938.24 = 718.68/x
  3. Step 3: Cross multiply
    1,295.40x = 1,938.24 × 718.68
  4. Step 4: Simplify right side
    1,295.40x = 1,392,974.32
  5. Step 5: Solve for x
    x = 1,392,974.32/1,295.40
  6. Step 6: Final answer
    x = 1,075.32

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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.