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Finding the Fourth Proportional to 842.06, 1,161.76 and 509.91

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Solution

The fourth proportional to 842.06, 1,161.76 and 509.91 is: 703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.06 : 1,161.76 = 509.91 : x
  2. Step 2: Convert to fraction form
    842.06/1,161.76 = 509.91/x
  3. Step 3: Cross multiply
    842.06x = 1,161.76 × 509.91
  4. Step 4: Simplify right side
    842.06x = 592,393.04
  5. Step 5: Solve for x
    x = 592,393.04/842.06
  6. Step 6: Final answer
    x = 703.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.