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Finding the Fourth Proportional to 1,284.70, 1,925.88 and 462.78

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Solution

The fourth proportional to 1,284.70, 1,925.88 and 462.78 is: 693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.70 : 1,925.88 = 462.78 : x
  2. Step 2: Convert to fraction form
    1,284.70/1,925.88 = 462.78/x
  3. Step 3: Cross multiply
    1,284.70x = 1,925.88 × 462.78
  4. Step 4: Simplify right side
    1,284.70x = 891,258.75
  5. Step 5: Solve for x
    x = 891,258.75/1,284.70
  6. Step 6: Final answer
    x = 693.75

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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.