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Finding the Fourth Proportional to 575.88, 798.08 and 564.94

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Solution

The fourth proportional to 575.88, 798.08 and 564.94 is: 782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.88 : 798.08 = 564.94 : x
  2. Step 2: Convert to fraction form
    575.88/798.08 = 564.94/x
  3. Step 3: Cross multiply
    575.88x = 798.08 × 564.94
  4. Step 4: Simplify right side
    575.88x = 450,864.49
  5. Step 5: Solve for x
    x = 450,864.49/575.88
  6. Step 6: Final answer
    x = 782.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.