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Finding the Fourth Proportional to 776.61, 1,072.25 and 515.07

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Solution

The fourth proportional to 776.61, 1,072.25 and 515.07 is: 711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.61 : 1,072.25 = 515.07 : x
  2. Step 2: Convert to fraction form
    776.61/1,072.25 = 515.07/x
  3. Step 3: Cross multiply
    776.61x = 1,072.25 × 515.07
  4. Step 4: Simplify right side
    776.61x = 552,281.23
  5. Step 5: Solve for x
    x = 552,281.23/776.61
  6. Step 6: Final answer
    x = 711.14

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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.