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Finding the Fourth Proportional to 672.10, 923.59 and 564.10

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Solution

The fourth proportional to 672.10, 923.59 and 564.10 is: 775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.10 : 923.59 = 564.10 : x
  2. Step 2: Convert to fraction form
    672.10/923.59 = 564.10/x
  3. Step 3: Cross multiply
    672.10x = 923.59 × 564.10
  4. Step 4: Simplify right side
    672.10x = 520,994.30
  5. Step 5: Solve for x
    x = 520,994.30/672.10
  6. Step 6: Final answer
    x = 775.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.