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Finding the Fourth Proportional to 931.50, 1,285.47 and 582.21

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Solution

The fourth proportional to 931.50, 1,285.47 and 582.21 is: 803.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.50 : 1,285.47 = 582.21 : x
  2. Step 2: Convert to fraction form
    931.50/1,285.47 = 582.21/x
  3. Step 3: Cross multiply
    931.50x = 1,285.47 × 582.21
  4. Step 4: Simplify right side
    931.50x = 748,413.49
  5. Step 5: Solve for x
    x = 748,413.49/931.50
  6. Step 6: Final answer
    x = 803.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.