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Finding the Fourth Proportional to 1,129.44, 1,693.98 and 307.77

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Solution

The fourth proportional to 1,129.44, 1,693.98 and 307.77 is: 461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.44 : 1,693.98 = 307.77 : x
  2. Step 2: Convert to fraction form
    1,129.44/1,693.98 = 307.77/x
  3. Step 3: Cross multiply
    1,129.44x = 1,693.98 × 307.77
  4. Step 4: Simplify right side
    1,129.44x = 521,356.22
  5. Step 5: Solve for x
    x = 521,356.22/1,129.44
  6. Step 6: Final answer
    x = 461.61

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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.