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Finding the Fourth Proportional to 563.63, 777.51 and 524.06

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Solution

The fourth proportional to 563.63, 777.51 and 524.06 is: 722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.63 : 777.51 = 524.06 : x
  2. Step 2: Convert to fraction form
    563.63/777.51 = 524.06/x
  3. Step 3: Cross multiply
    563.63x = 777.51 × 524.06
  4. Step 4: Simplify right side
    563.63x = 407,460.92
  5. Step 5: Solve for x
    x = 407,460.92/563.63
  6. Step 6: Final answer
    x = 722.93

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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.