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Finding the Fourth Proportional to 703.62, 970.18 and 563.63

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Solution

The fourth proportional to 703.62, 970.18 and 563.63 is: 777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.62 : 970.18 = 563.63 : x
  2. Step 2: Convert to fraction form
    703.62/970.18 = 563.63/x
  3. Step 3: Cross multiply
    703.62x = 970.18 × 563.63
  4. Step 4: Simplify right side
    703.62x = 546,816.29
  5. Step 5: Solve for x
    x = 546,816.29/703.62
  6. Step 6: Final answer
    x = 777.15

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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.