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Finding the Fourth Proportional to 571.73, 854.01 and 562.01

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Solution

The fourth proportional to 571.73, 854.01 and 562.01 is: 839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.73 : 854.01 = 562.01 : x
  2. Step 2: Convert to fraction form
    571.73/854.01 = 562.01/x
  3. Step 3: Cross multiply
    571.73x = 854.01 × 562.01
  4. Step 4: Simplify right side
    571.73x = 479,957.89
  5. Step 5: Solve for x
    x = 479,957.89/571.73
  6. Step 6: Final answer
    x = 839.49

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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.