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Finding the Fourth Proportional to 1,538.65, 2,307.74 and 442.87

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Solution

The fourth proportional to 1,538.65, 2,307.74 and 442.87 is: 664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.65 : 2,307.74 = 442.87 : x
  2. Step 2: Convert to fraction form
    1,538.65/2,307.74 = 442.87/x
  3. Step 3: Cross multiply
    1,538.65x = 2,307.74 × 442.87
  4. Step 4: Simplify right side
    1,538.65x = 1,022,023.32
  5. Step 5: Solve for x
    x = 1,022,023.32/1,538.65
  6. Step 6: Final answer
    x = 664.24

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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.