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Finding the Fourth Proportional to 772.59, 1,066.07 and 440.93

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Solution

The fourth proportional to 772.59, 1,066.07 and 440.93 is: 608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.59 : 1,066.07 = 440.93 : x
  2. Step 2: Convert to fraction form
    772.59/1,066.07 = 440.93/x
  3. Step 3: Cross multiply
    772.59x = 1,066.07 × 440.93
  4. Step 4: Simplify right side
    772.59x = 470,055.81
  5. Step 5: Solve for x
    x = 470,055.81/772.59
  6. Step 6: Final answer
    x = 608.42

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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.