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Finding the Fourth Proportional to 784.74, 1,083.02 and 486.05

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Solution

The fourth proportional to 784.74, 1,083.02 and 486.05 is: 670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.74 : 1,083.02 = 486.05 : x
  2. Step 2: Convert to fraction form
    784.74/1,083.02 = 486.05/x
  3. Step 3: Cross multiply
    784.74x = 1,083.02 × 486.05
  4. Step 4: Simplify right side
    784.74x = 526,402.85
  5. Step 5: Solve for x
    x = 526,402.85/784.74
  6. Step 6: Final answer
    x = 670.80

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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.