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Finding the Fourth Proportional to 703.48, 970.96 and 564.52

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Solution

The fourth proportional to 703.48, 970.96 and 564.52 is: 779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.48 : 970.96 = 564.52 : x
  2. Step 2: Convert to fraction form
    703.48/970.96 = 564.52/x
  3. Step 3: Cross multiply
    703.48x = 970.96 × 564.52
  4. Step 4: Simplify right side
    703.48x = 548,126.34
  5. Step 5: Solve for x
    x = 548,126.34/703.48
  6. Step 6: Final answer
    x = 779.16

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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.