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Finding the Fourth Proportional to 663.04, 993.63 and 565.03

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Solution

The fourth proportional to 663.04, 993.63 and 565.03 is: 846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.04 : 993.63 = 565.03 : x
  2. Step 2: Convert to fraction form
    663.04/993.63 = 565.03/x
  3. Step 3: Cross multiply
    663.04x = 993.63 × 565.03
  4. Step 4: Simplify right side
    663.04x = 561,430.76
  5. Step 5: Solve for x
    x = 561,430.76/663.04
  6. Step 6: Final answer
    x = 846.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.