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Finding the Fourth Proportional to 1,077.32, 1,615.98 and 307.82

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Solution

The fourth proportional to 1,077.32, 1,615.98 and 307.82 is: 461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.32 : 1,615.98 = 307.82 : x
  2. Step 2: Convert to fraction form
    1,077.32/1,615.98 = 307.82/x
  3. Step 3: Cross multiply
    1,077.32x = 1,615.98 × 307.82
  4. Step 4: Simplify right side
    1,077.32x = 497,421.34
  5. Step 5: Solve for x
    x = 497,421.34/1,077.32
  6. Step 6: Final answer
    x = 461.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.