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Finding the Fourth Proportional to 677.99, 1,017.36 and 472.16

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Solution

The fourth proportional to 677.99, 1,017.36 and 472.16 is: 708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.99 : 1,017.36 = 472.16 : x
  2. Step 2: Convert to fraction form
    677.99/1,017.36 = 472.16/x
  3. Step 3: Cross multiply
    677.99x = 1,017.36 × 472.16
  4. Step 4: Simplify right side
    677.99x = 480,351.61
  5. Step 5: Solve for x
    x = 480,351.61/677.99
  6. Step 6: Final answer
    x = 708.50

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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.