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Finding the Fourth Proportional to 776.16, 1,070.72 and 444.46

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Solution

The fourth proportional to 776.16, 1,070.72 and 444.46 is: 613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.16 : 1,070.72 = 444.46 : x
  2. Step 2: Convert to fraction form
    776.16/1,070.72 = 444.46/x
  3. Step 3: Cross multiply
    776.16x = 1,070.72 × 444.46
  4. Step 4: Simplify right side
    776.16x = 475,894.00
  5. Step 5: Solve for x
    x = 475,894.00/776.16
  6. Step 6: Final answer
    x = 613.14

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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.