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Finding the Fourth Proportional to 1,095.86, 1,644.07 and 479.69

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Solution

The fourth proportional to 1,095.86, 1,644.07 and 479.69 is: 719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.86 : 1,644.07 = 479.69 : x
  2. Step 2: Convert to fraction form
    1,095.86/1,644.07 = 479.69/x
  3. Step 3: Cross multiply
    1,095.86x = 1,644.07 × 479.69
  4. Step 4: Simplify right side
    1,095.86x = 788,635.72
  5. Step 5: Solve for x
    x = 788,635.72/1,095.86
  6. Step 6: Final answer
    x = 719.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.