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Finding the Fourth Proportional to 563.16, 774.72 and 547.74

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Solution

The fourth proportional to 563.16, 774.72 and 547.74 is: 753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.16 : 774.72 = 547.74 : x
  2. Step 2: Convert to fraction form
    563.16/774.72 = 547.74/x
  3. Step 3: Cross multiply
    563.16x = 774.72 × 547.74
  4. Step 4: Simplify right side
    563.16x = 424,345.13
  5. Step 5: Solve for x
    x = 424,345.13/563.16
  6. Step 6: Final answer
    x = 753.51

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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.