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Finding the Fourth Proportional to 599.91, 831.73 and 567.10

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Solution

The fourth proportional to 599.91, 831.73 and 567.10 is: 786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.91 : 831.73 = 567.10 : x
  2. Step 2: Convert to fraction form
    599.91/831.73 = 567.10/x
  3. Step 3: Cross multiply
    599.91x = 831.73 × 567.10
  4. Step 4: Simplify right side
    599.91x = 471,674.08
  5. Step 5: Solve for x
    x = 471,674.08/599.91
  6. Step 6: Final answer
    x = 786.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.