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Finding the Fourth Proportional to 1,302.57, 1,785.42 and 1,284.35

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Solution

The fourth proportional to 1,302.57, 1,785.42 and 1,284.35 is: 1,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.57 : 1,785.42 = 1,284.35 : x
  2. Step 2: Convert to fraction form
    1,302.57/1,785.42 = 1,284.35/x
  3. Step 3: Cross multiply
    1,302.57x = 1,785.42 × 1,284.35
  4. Step 4: Simplify right side
    1,302.57x = 2,293,095.25
  5. Step 5: Solve for x
    x = 2,293,095.25/1,302.57
  6. Step 6: Final answer
    x = 1,760.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.