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Finding the Fourth Proportional to 1,284.75, 1,925.52 and 590.68

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Solution

The fourth proportional to 1,284.75, 1,925.52 and 590.68 is: 885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.75 : 1,925.52 = 590.68 : x
  2. Step 2: Convert to fraction form
    1,284.75/1,925.52 = 590.68/x
  3. Step 3: Cross multiply
    1,284.75x = 1,925.52 × 590.68
  4. Step 4: Simplify right side
    1,284.75x = 1,137,353.57
  5. Step 5: Solve for x
    x = 1,137,353.57/1,284.75
  6. Step 6: Final answer
    x = 885.28

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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.