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Finding the Fourth Proportional to 1,254.42, 1,881.90 and 433.35

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Solution

The fourth proportional to 1,254.42, 1,881.90 and 433.35 is: 650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.42 : 1,881.90 = 433.35 : x
  2. Step 2: Convert to fraction form
    1,254.42/1,881.90 = 433.35/x
  3. Step 3: Cross multiply
    1,254.42x = 1,881.90 × 433.35
  4. Step 4: Simplify right side
    1,254.42x = 815,521.37
  5. Step 5: Solve for x
    x = 815,521.37/1,254.42
  6. Step 6: Final answer
    x = 650.12

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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.