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Finding the Fourth Proportional to 1,284.73, 1,925.23 and 699.24

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Solution

The fourth proportional to 1,284.73, 1,925.23 and 699.24 is: 1,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.73 : 1,925.23 = 699.24 : x
  2. Step 2: Convert to fraction form
    1,284.73/1,925.23 = 699.24/x
  3. Step 3: Cross multiply
    1,284.73x = 1,925.23 × 699.24
  4. Step 4: Simplify right side
    1,284.73x = 1,346,197.83
  5. Step 5: Solve for x
    x = 1,346,197.83/1,284.73
  6. Step 6: Final answer
    x = 1,047.84

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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.