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Finding the Fourth Proportional to 776.12, 1,071.72 and 567.48

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Solution

The fourth proportional to 776.12, 1,071.72 and 567.48 is: 783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.12 : 1,071.72 = 567.48 : x
  2. Step 2: Convert to fraction form
    776.12/1,071.72 = 567.48/x
  3. Step 3: Cross multiply
    776.12x = 1,071.72 × 567.48
  4. Step 4: Simplify right side
    776.12x = 608,179.67
  5. Step 5: Solve for x
    x = 608,179.67/776.12
  6. Step 6: Final answer
    x = 783.62

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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.