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Finding the Fourth Proportional to 1,283.15, 1,924.72 and 309.25

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Solution

The fourth proportional to 1,283.15, 1,924.72 and 309.25 is: 463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.15 : 1,924.72 = 309.25 : x
  2. Step 2: Convert to fraction form
    1,283.15/1,924.72 = 309.25/x
  3. Step 3: Cross multiply
    1,283.15x = 1,924.72 × 309.25
  4. Step 4: Simplify right side
    1,283.15x = 595,214.08
  5. Step 5: Solve for x
    x = 595,214.08/1,283.15
  6. Step 6: Final answer
    x = 463.87

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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.