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Finding the Fourth Proportional to 1,275.47, 1,914.23 and 495.84

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Solution

The fourth proportional to 1,275.47, 1,914.23 and 495.84 is: 744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.47 : 1,914.23 = 495.84 : x
  2. Step 2: Convert to fraction form
    1,275.47/1,914.23 = 495.84/x
  3. Step 3: Cross multiply
    1,275.47x = 1,914.23 × 495.84
  4. Step 4: Simplify right side
    1,275.47x = 949,151.80
  5. Step 5: Solve for x
    x = 949,151.80/1,275.47
  6. Step 6: Final answer
    x = 744.16

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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.