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Finding the Fourth Proportional to 616.56, 918.89 and 581.01

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Solution

The fourth proportional to 616.56, 918.89 and 581.01 is: 865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.56 : 918.89 = 581.01 : x
  2. Step 2: Convert to fraction form
    616.56/918.89 = 581.01/x
  3. Step 3: Cross multiply
    616.56x = 918.89 × 581.01
  4. Step 4: Simplify right side
    616.56x = 533,881.37
  5. Step 5: Solve for x
    x = 533,881.37/616.56
  6. Step 6: Final answer
    x = 865.90

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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.