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Finding the Fourth Proportional to 1,304.71, 1,957.01 and 380.25

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Solution

The fourth proportional to 1,304.71, 1,957.01 and 380.25 is: 570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.71 : 1,957.01 = 380.25 : x
  2. Step 2: Convert to fraction form
    1,304.71/1,957.01 = 380.25/x
  3. Step 3: Cross multiply
    1,304.71x = 1,957.01 × 380.25
  4. Step 4: Simplify right side
    1,304.71x = 744,143.81
  5. Step 5: Solve for x
    x = 744,143.81/1,304.71
  6. Step 6: Final answer
    x = 570.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.