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Finding the Fourth Proportional to 942.06, 1,410.93 and 576.30

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Solution

The fourth proportional to 942.06, 1,410.93 and 576.30 is: 863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.06 : 1,410.93 = 576.30 : x
  2. Step 2: Convert to fraction form
    942.06/1,410.93 = 576.30/x
  3. Step 3: Cross multiply
    942.06x = 1,410.93 × 576.30
  4. Step 4: Simplify right side
    942.06x = 813,118.96
  5. Step 5: Solve for x
    x = 813,118.96/942.06
  6. Step 6: Final answer
    x = 863.13

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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.