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Finding the Fourth Proportional to 777.03, 1,072.58 and 515.13

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Solution

The fourth proportional to 777.03, 1,072.58 and 515.13 is: 711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.03 : 1,072.58 = 515.13 : x
  2. Step 2: Convert to fraction form
    777.03/1,072.58 = 515.13/x
  3. Step 3: Cross multiply
    777.03x = 1,072.58 × 515.13
  4. Step 4: Simplify right side
    777.03x = 552,518.14
  5. Step 5: Solve for x
    x = 552,518.14/777.03
  6. Step 6: Final answer
    x = 711.06

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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.