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Finding the Fourth Proportional to 598.94, 899.16 and 571.24

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Solution

The fourth proportional to 598.94, 899.16 and 571.24 is: 857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.94 : 899.16 = 571.24 : x
  2. Step 2: Convert to fraction form
    598.94/899.16 = 571.24/x
  3. Step 3: Cross multiply
    598.94x = 899.16 × 571.24
  4. Step 4: Simplify right side
    598.94x = 513,628.81
  5. Step 5: Solve for x
    x = 513,628.81/598.94
  6. Step 6: Final answer
    x = 857.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.