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Finding the Fourth Proportional to 977.44, 1,467.60 and 592.96

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Solution

The fourth proportional to 977.44, 1,467.60 and 592.96 is: 890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.44 : 1,467.60 = 592.96 : x
  2. Step 2: Convert to fraction form
    977.44/1,467.60 = 592.96/x
  3. Step 3: Cross multiply
    977.44x = 1,467.60 × 592.96
  4. Step 4: Simplify right side
    977.44x = 870,228.10
  5. Step 5: Solve for x
    x = 870,228.10/977.44
  6. Step 6: Final answer
    x = 890.31

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Why These Related Problems?

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