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Finding the Fourth Proportional to 1,095.90, 1,644.47 and 402.47

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Solution

The fourth proportional to 1,095.90, 1,644.47 and 402.47 is: 603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.90 : 1,644.47 = 402.47 : x
  2. Step 2: Convert to fraction form
    1,095.90/1,644.47 = 402.47/x
  3. Step 3: Cross multiply
    1,095.90x = 1,644.47 × 402.47
  4. Step 4: Simplify right side
    1,095.90x = 661,849.84
  5. Step 5: Solve for x
    x = 661,849.84/1,095.90
  6. Step 6: Final answer
    x = 603.93

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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.