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Finding the Fourth Proportional to 611.29, 841.76 and 597.67

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Solution

The fourth proportional to 611.29, 841.76 and 597.67 is: 823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.29 : 841.76 = 597.67 : x
  2. Step 2: Convert to fraction form
    611.29/841.76 = 597.67/x
  3. Step 3: Cross multiply
    611.29x = 841.76 × 597.67
  4. Step 4: Simplify right side
    611.29x = 503,090.49
  5. Step 5: Solve for x
    x = 503,090.49/611.29
  6. Step 6: Final answer
    x = 823.00

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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.