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Finding the Fourth Proportional to 1,255.67, 1,883.53 and 433.93

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Solution

The fourth proportional to 1,255.67, 1,883.53 and 433.93 is: 650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.67 : 1,883.53 = 433.93 : x
  2. Step 2: Convert to fraction form
    1,255.67/1,883.53 = 433.93/x
  3. Step 3: Cross multiply
    1,255.67x = 1,883.53 × 433.93
  4. Step 4: Simplify right side
    1,255.67x = 817,320.17
  5. Step 5: Solve for x
    x = 817,320.17/1,255.67
  6. Step 6: Final answer
    x = 650.90

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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.