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Finding the Fourth Proportional to 777.51, 1,165.66 and 430.97

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Solution

The fourth proportional to 777.51, 1,165.66 and 430.97 is: 646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.51 : 1,165.66 = 430.97 : x
  2. Step 2: Convert to fraction form
    777.51/1,165.66 = 430.97/x
  3. Step 3: Cross multiply
    777.51x = 1,165.66 × 430.97
  4. Step 4: Simplify right side
    777.51x = 502,357.58
  5. Step 5: Solve for x
    x = 502,357.58/777.51
  6. Step 6: Final answer
    x = 646.11

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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.