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Finding the Fourth Proportional to 677.77, 1,014.93 and 472.23

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Solution

The fourth proportional to 677.77, 1,014.93 and 472.23 is: 707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.77 : 1,014.93 = 472.23 : x
  2. Step 2: Convert to fraction form
    677.77/1,014.93 = 472.23/x
  3. Step 3: Cross multiply
    677.77x = 1,014.93 × 472.23
  4. Step 4: Simplify right side
    677.77x = 479,280.39
  5. Step 5: Solve for x
    x = 479,280.39/677.77
  6. Step 6: Final answer
    x = 707.15

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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.