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Finding the Fourth Proportional to 1,538.47, 2,307.77 and 442.81

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Solution

The fourth proportional to 1,538.47, 2,307.77 and 442.81 is: 664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.47 : 2,307.77 = 442.81 : x
  2. Step 2: Convert to fraction form
    1,538.47/2,307.77 = 442.81/x
  3. Step 3: Cross multiply
    1,538.47x = 2,307.77 × 442.81
  4. Step 4: Simplify right side
    1,538.47x = 1,021,889.88
  5. Step 5: Solve for x
    x = 1,021,889.88/1,538.47
  6. Step 6: Final answer
    x = 664.23

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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.