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Finding the Fourth Proportional to 1,538.66, 2,307.71 and 442.77

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Solution

The fourth proportional to 1,538.66, 2,307.71 and 442.77 is: 664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.66 : 2,307.71 = 442.77 : x
  2. Step 2: Convert to fraction form
    1,538.66/2,307.71 = 442.77/x
  3. Step 3: Cross multiply
    1,538.66x = 2,307.71 × 442.77
  4. Step 4: Simplify right side
    1,538.66x = 1,021,774.72
  5. Step 5: Solve for x
    x = 1,021,774.72/1,538.66
  6. Step 6: Final answer
    x = 664.07

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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.