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Finding the Fourth Proportional to 1,538.66, 2,307.45 and 442.73

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Solution

The fourth proportional to 1,538.66, 2,307.45 and 442.73 is: 663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.66 : 2,307.45 = 442.73 : x
  2. Step 2: Convert to fraction form
    1,538.66/2,307.45 = 442.73/x
  3. Step 3: Cross multiply
    1,538.66x = 2,307.45 × 442.73
  4. Step 4: Simplify right side
    1,538.66x = 1,021,584.77
  5. Step 5: Solve for x
    x = 1,021,584.77/1,538.66
  6. Step 6: Final answer
    x = 663.94

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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.