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Finding the Fourth Proportional to 776.06, 1,070.87 and 456.94

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Solution

The fourth proportional to 776.06, 1,070.87 and 456.94 is: 630.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.06 : 1,070.87 = 456.94 : x
  2. Step 2: Convert to fraction form
    776.06/1,070.87 = 456.94/x
  3. Step 3: Cross multiply
    776.06x = 1,070.87 × 456.94
  4. Step 4: Simplify right side
    776.06x = 489,324.96
  5. Step 5: Solve for x
    x = 489,324.96/776.06
  6. Step 6: Final answer
    x = 630.53

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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.