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Finding the Fourth Proportional to 870.24, 1,302.12 and 523.77

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Solution

The fourth proportional to 870.24, 1,302.12 and 523.77 is: 783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.24 : 1,302.12 = 523.77 : x
  2. Step 2: Convert to fraction form
    870.24/1,302.12 = 523.77/x
  3. Step 3: Cross multiply
    870.24x = 1,302.12 × 523.77
  4. Step 4: Simplify right side
    870.24x = 682,011.39
  5. Step 5: Solve for x
    x = 682,011.39/870.24
  6. Step 6: Final answer
    x = 783.70

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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.