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Finding the Fourth Proportional to 1,283.57, 1,925.35 and 309.68

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Solution

The fourth proportional to 1,283.57, 1,925.35 and 309.68 is: 464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.57 : 1,925.35 = 309.68 : x
  2. Step 2: Convert to fraction form
    1,283.57/1,925.35 = 309.68/x
  3. Step 3: Cross multiply
    1,283.57x = 1,925.35 × 309.68
  4. Step 4: Simplify right side
    1,283.57x = 596,242.39
  5. Step 5: Solve for x
    x = 596,242.39/1,283.57
  6. Step 6: Final answer
    x = 464.52

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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.