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Finding the Fourth Proportional to 756.96, 1,134 and 583.92

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Solution

The fourth proportional to 756.96, 1,134 and 583.92 is: 874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.96 : 1,134 = 583.92 : x
  2. Step 2: Convert to fraction form
    756.96/1,134 = 583.92/x
  3. Step 3: Cross multiply
    756.96x = 1,134 × 583.92
  4. Step 4: Simplify right side
    756.96x = 662,165.28
  5. Step 5: Solve for x
    x = 662,165.28/756.96
  6. Step 6: Final answer
    x = 874.77

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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.