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Finding the Fourth Proportional to 977.84, 1,467.12 and 593.36

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Solution

The fourth proportional to 977.84, 1,467.12 and 593.36 is: 890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.84 : 1,467.12 = 593.36 : x
  2. Step 2: Convert to fraction form
    977.84/1,467.12 = 593.36/x
  3. Step 3: Cross multiply
    977.84x = 1,467.12 × 593.36
  4. Step 4: Simplify right side
    977.84x = 870,530.32
  5. Step 5: Solve for x
    x = 870,530.32/977.84
  6. Step 6: Final answer
    x = 890.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.