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Finding the Fourth Proportional to 1,283.15, 1,925.06 and 358.71

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Solution

The fourth proportional to 1,283.15, 1,925.06 and 358.71 is: 538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.15 : 1,925.06 = 358.71 : x
  2. Step 2: Convert to fraction form
    1,283.15/1,925.06 = 358.71/x
  3. Step 3: Cross multiply
    1,283.15x = 1,925.06 × 358.71
  4. Step 4: Simplify right side
    1,283.15x = 690,540.09
  5. Step 5: Solve for x
    x = 690,540.09/1,283.15
  6. Step 6: Final answer
    x = 538.16

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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.