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Finding the Fourth Proportional to 779.90, 1,076.64 and 514.64

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Solution

The fourth proportional to 779.90, 1,076.64 and 514.64 is: 710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.90 : 1,076.64 = 514.64 : x
  2. Step 2: Convert to fraction form
    779.90/1,076.64 = 514.64/x
  3. Step 3: Cross multiply
    779.90x = 1,076.64 × 514.64
  4. Step 4: Simplify right side
    779.90x = 554,082.01
  5. Step 5: Solve for x
    x = 554,082.01/779.90
  6. Step 6: Final answer
    x = 710.45

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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.