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Finding the Fourth Proportional to 761.81, 1,051.29 and 430.23

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Solution

The fourth proportional to 761.81, 1,051.29 and 430.23 is: 593.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.81 : 1,051.29 = 430.23 : x
  2. Step 2: Convert to fraction form
    761.81/1,051.29 = 430.23/x
  3. Step 3: Cross multiply
    761.81x = 1,051.29 × 430.23
  4. Step 4: Simplify right side
    761.81x = 452,296.50
  5. Step 5: Solve for x
    x = 452,296.50/761.81
  6. Step 6: Final answer
    x = 593.71

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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.