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Finding the Fourth Proportional to 670.83, 926.02 and 577.20

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Solution

The fourth proportional to 670.83, 926.02 and 577.20 is: 796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.83 : 926.02 = 577.20 : x
  2. Step 2: Convert to fraction form
    670.83/926.02 = 577.20/x
  3. Step 3: Cross multiply
    670.83x = 926.02 × 577.20
  4. Step 4: Simplify right side
    670.83x = 534,498.74
  5. Step 5: Solve for x
    x = 534,498.74/670.83
  6. Step 6: Final answer
    x = 796.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.