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Finding the Fourth Proportional to 583.52, 871 and 507.02

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Solution

The fourth proportional to 583.52, 871 and 507.02 is: 756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.52 : 871 = 507.02 : x
  2. Step 2: Convert to fraction form
    583.52/871 = 507.02/x
  3. Step 3: Cross multiply
    583.52x = 871 × 507.02
  4. Step 4: Simplify right side
    583.52x = 441,614.42
  5. Step 5: Solve for x
    x = 441,614.42/583.52
  6. Step 6: Final answer
    x = 756.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.