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Finding the Fourth Proportional to 1,283.16, 1,924.56 and 358.80

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Solution

The fourth proportional to 1,283.16, 1,924.56 and 358.80 is: 538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.16 : 1,924.56 = 358.80 : x
  2. Step 2: Convert to fraction form
    1,283.16/1,924.56 = 358.80/x
  3. Step 3: Cross multiply
    1,283.16x = 1,924.56 × 358.80
  4. Step 4: Simplify right side
    1,283.16x = 690,532.13
  5. Step 5: Solve for x
    x = 690,532.13/1,283.16
  6. Step 6: Final answer
    x = 538.15

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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.