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Finding the Fourth Proportional to 1,283.98, 1,925.97 and 310.08

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Solution

The fourth proportional to 1,283.98, 1,925.97 and 310.08 is: 465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.98 : 1,925.97 = 310.08 : x
  2. Step 2: Convert to fraction form
    1,283.98/1,925.97 = 310.08/x
  3. Step 3: Cross multiply
    1,283.98x = 1,925.97 × 310.08
  4. Step 4: Simplify right side
    1,283.98x = 597,203.26
  5. Step 5: Solve for x
    x = 597,203.26/1,283.98
  6. Step 6: Final answer
    x = 465.12

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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.