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Finding the Fourth Proportional to 776.04, 1,070.92 and 514.54

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Solution

The fourth proportional to 776.04, 1,070.92 and 514.54 is: 710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.04 : 1,070.92 = 514.54 : x
  2. Step 2: Convert to fraction form
    776.04/1,070.92 = 514.54/x
  3. Step 3: Cross multiply
    776.04x = 1,070.92 × 514.54
  4. Step 4: Simplify right side
    776.04x = 551,031.18
  5. Step 5: Solve for x
    x = 551,031.18/776.04
  6. Step 6: Final answer
    x = 710.06

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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.