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Finding the Fourth Proportional to 1,283.17, 1,924.65 and 358.75

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Solution

The fourth proportional to 1,283.17, 1,924.65 and 358.75 is: 538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.17 : 1,924.65 = 358.75 : x
  2. Step 2: Convert to fraction form
    1,283.17/1,924.65 = 358.75/x
  3. Step 3: Cross multiply
    1,283.17x = 1,924.65 × 358.75
  4. Step 4: Simplify right side
    1,283.17x = 690,468.19
  5. Step 5: Solve for x
    x = 690,468.19/1,283.17
  6. Step 6: Final answer
    x = 538.10

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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.