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Finding the Fourth Proportional to 1,032.32, 1,548.71 and 301.84

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Solution

The fourth proportional to 1,032.32, 1,548.71 and 301.84 is: 452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.32 : 1,548.71 = 301.84 : x
  2. Step 2: Convert to fraction form
    1,032.32/1,548.71 = 301.84/x
  3. Step 3: Cross multiply
    1,032.32x = 1,548.71 × 301.84
  4. Step 4: Simplify right side
    1,032.32x = 467,459.51
  5. Step 5: Solve for x
    x = 467,459.51/1,032.32
  6. Step 6: Final answer
    x = 452.82

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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.