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Finding the Fourth Proportional to 776.01, 1,071.06 and 543

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Solution

The fourth proportional to 776.01, 1,071.06 and 543 is: 749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.01 : 1,071.06 = 543 : x
  2. Step 2: Convert to fraction form
    776.01/1,071.06 = 543/x
  3. Step 3: Cross multiply
    776.01x = 1,071.06 × 543
  4. Step 4: Simplify right side
    776.01x = 581,585.58
  5. Step 5: Solve for x
    x = 581,585.58/776.01
  6. Step 6: Final answer
    x = 749.46

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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.