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Finding the Fourth Proportional to 1,095.17, 1,642.40 and 364.55

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Solution

The fourth proportional to 1,095.17, 1,642.40 and 364.55 is: 546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.17 : 1,642.40 = 364.55 : x
  2. Step 2: Convert to fraction form
    1,095.17/1,642.40 = 364.55/x
  3. Step 3: Cross multiply
    1,095.17x = 1,642.40 × 364.55
  4. Step 4: Simplify right side
    1,095.17x = 598,726.89
  5. Step 5: Solve for x
    x = 598,726.89/1,095.17
  6. Step 6: Final answer
    x = 546.70

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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.