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Finding the Fourth Proportional to 711.83, 1,062.93 and 582.08

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Solution

The fourth proportional to 711.83, 1,062.93 and 582.08 is: 869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.83 : 1,062.93 = 582.08 : x
  2. Step 2: Convert to fraction form
    711.83/1,062.93 = 582.08/x
  3. Step 3: Cross multiply
    711.83x = 1,062.93 × 582.08
  4. Step 4: Simplify right side
    711.83x = 618,704.98
  5. Step 5: Solve for x
    x = 618,704.98/711.83
  6. Step 6: Final answer
    x = 869.18

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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.