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Finding the Fourth Proportional to 977.99, 1,467.54 and 458.24

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Solution

The fourth proportional to 977.99, 1,467.54 and 458.24 is: 687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.99 : 1,467.54 = 458.24 : x
  2. Step 2: Convert to fraction form
    977.99/1,467.54 = 458.24/x
  3. Step 3: Cross multiply
    977.99x = 1,467.54 × 458.24
  4. Step 4: Simplify right side
    977.99x = 672,478.19
  5. Step 5: Solve for x
    x = 672,478.19/977.99
  6. Step 6: Final answer
    x = 687.62

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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.