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Finding the Fourth Proportional to 763.76, 1,054.52 and 564.64

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Solution

The fourth proportional to 763.76, 1,054.52 and 564.64 is: 779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.76 : 1,054.52 = 564.64 : x
  2. Step 2: Convert to fraction form
    763.76/1,054.52 = 564.64/x
  3. Step 3: Cross multiply
    763.76x = 1,054.52 × 564.64
  4. Step 4: Simplify right side
    763.76x = 595,420.83
  5. Step 5: Solve for x
    x = 595,420.83/763.76
  6. Step 6: Final answer
    x = 779.59

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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.