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Finding the Fourth Proportional to 613.51, 918.34 and 592.11

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Solution

The fourth proportional to 613.51, 918.34 and 592.11 is: 886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.51 : 918.34 = 592.11 : x
  2. Step 2: Convert to fraction form
    613.51/918.34 = 592.11/x
  3. Step 3: Cross multiply
    613.51x = 918.34 × 592.11
  4. Step 4: Simplify right side
    613.51x = 543,756.82
  5. Step 5: Solve for x
    x = 543,756.82/613.51
  6. Step 6: Final answer
    x = 886.31

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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.