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Finding the Fourth Proportional to 942.12, 1,410.24 and 595.80

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Solution

The fourth proportional to 942.12, 1,410.24 and 595.80 is: 891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.12 : 1,410.24 = 595.80 : x
  2. Step 2: Convert to fraction form
    942.12/1,410.24 = 595.80/x
  3. Step 3: Cross multiply
    942.12x = 1,410.24 × 595.80
  4. Step 4: Simplify right side
    942.12x = 840,220.99
  5. Step 5: Solve for x
    x = 840,220.99/942.12
  6. Step 6: Final answer
    x = 891.84

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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.