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Finding the Fourth Proportional to 1,695.83, 2,543.85 and 600.26

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Solution

The fourth proportional to 1,695.83, 2,543.85 and 600.26 is: 900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.83 : 2,543.85 = 600.26 : x
  2. Step 2: Convert to fraction form
    1,695.83/2,543.85 = 600.26/x
  3. Step 3: Cross multiply
    1,695.83x = 2,543.85 × 600.26
  4. Step 4: Simplify right side
    1,695.83x = 1,526,971.40
  5. Step 5: Solve for x
    x = 1,526,971.40/1,695.83
  6. Step 6: Final answer
    x = 900.43

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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.