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Finding the Fourth Proportional to 784.96, 1,083.24 and 430.88

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Solution

The fourth proportional to 784.96, 1,083.24 and 430.88 is: 594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.96 : 1,083.24 = 430.88 : x
  2. Step 2: Convert to fraction form
    784.96/1,083.24 = 430.88/x
  3. Step 3: Cross multiply
    784.96x = 1,083.24 × 430.88
  4. Step 4: Simplify right side
    784.96x = 466,746.45
  5. Step 5: Solve for x
    x = 466,746.45/784.96
  6. Step 6: Final answer
    x = 594.61

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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.