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Finding the Fourth Proportional to 1,095.34, 1,643.31 and 546.86

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Solution

The fourth proportional to 1,095.34, 1,643.31 and 546.86 is: 820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.34 : 1,643.31 = 546.86 : x
  2. Step 2: Convert to fraction form
    1,095.34/1,643.31 = 546.86/x
  3. Step 3: Cross multiply
    1,095.34x = 1,643.31 × 546.86
  4. Step 4: Simplify right side
    1,095.34x = 898,660.51
  5. Step 5: Solve for x
    x = 898,660.51/1,095.34
  6. Step 6: Final answer
    x = 820.44

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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.