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Finding the Fourth Proportional to 779.76, 1,076.22 and 485.46

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Solution

The fourth proportional to 779.76, 1,076.22 and 485.46 is: 670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.76 : 1,076.22 = 485.46 : x
  2. Step 2: Convert to fraction form
    779.76/1,076.22 = 485.46/x
  3. Step 3: Cross multiply
    779.76x = 1,076.22 × 485.46
  4. Step 4: Simplify right side
    779.76x = 522,461.76
  5. Step 5: Solve for x
    x = 522,461.76/779.76
  6. Step 6: Final answer
    x = 670.03

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1.5x scale

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.