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Finding the Fourth Proportional to 1,095.99, 1,644.93 and 602.85

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Solution

The fourth proportional to 1,095.99, 1,644.93 and 602.85 is: 904.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.99 : 1,644.93 = 602.85 : x
  2. Step 2: Convert to fraction form
    1,095.99/1,644.93 = 602.85/x
  3. Step 3: Cross multiply
    1,095.99x = 1,644.93 × 602.85
  4. Step 4: Simplify right side
    1,095.99x = 991,646.05
  5. Step 5: Solve for x
    x = 991,646.05/1,095.99
  6. Step 6: Final answer
    x = 904.79

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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.