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Finding the Fourth Proportional to 776, 1,070.64 and 514.16

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Solution

The fourth proportional to 776, 1,070.64 and 514.16 is: 709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    776 : 1,070.64 = 514.16 : x
  2. Step 2: Convert to fraction form
    776/1,070.64 = 514.16/x
  3. Step 3: Cross multiply
    776x = 1,070.64 × 514.16
  4. Step 4: Simplify right side
    776x = 550,480.26
  5. Step 5: Solve for x
    x = 550,480.26/776
  6. Step 6: Final answer
    x = 709.38

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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.