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Finding the Fourth Proportional to 611.16, 841.59 and 597.54

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Solution

The fourth proportional to 611.16, 841.59 and 597.54 is: 822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.16 : 841.59 = 597.54 : x
  2. Step 2: Convert to fraction form
    611.16/841.59 = 597.54/x
  3. Step 3: Cross multiply
    611.16x = 841.59 × 597.54
  4. Step 4: Simplify right side
    611.16x = 502,883.69
  5. Step 5: Solve for x
    x = 502,883.69/611.16
  6. Step 6: Final answer
    x = 822.83

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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.