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Finding the Fourth Proportional to 1,095.57, 1,642.74 and 364.76

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Solution

The fourth proportional to 1,095.57, 1,642.74 and 364.76 is: 546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.57 : 1,642.74 = 364.76 : x
  2. Step 2: Convert to fraction form
    1,095.57/1,642.74 = 364.76/x
  3. Step 3: Cross multiply
    1,095.57x = 1,642.74 × 364.76
  4. Step 4: Simplify right side
    1,095.57x = 599,205.84
  5. Step 5: Solve for x
    x = 599,205.84/1,095.57
  6. Step 6: Final answer
    x = 546.94

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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.