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Finding the Fourth Proportional to 777.46, 1,166.59 and 430.73

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Solution

The fourth proportional to 777.46, 1,166.59 and 430.73 is: 646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.46 : 1,166.59 = 430.73 : x
  2. Step 2: Convert to fraction form
    777.46/1,166.59 = 430.73/x
  3. Step 3: Cross multiply
    777.46x = 1,166.59 × 430.73
  4. Step 4: Simplify right side
    777.46x = 502,477.32
  5. Step 5: Solve for x
    x = 502,477.32/777.46
  6. Step 6: Final answer
    x = 646.31

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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.