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Finding the Fourth Proportional to 835.52, 1,150.99 and 586.35

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Solution

The fourth proportional to 835.52, 1,150.99 and 586.35 is: 807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.52 : 1,150.99 = 586.35 : x
  2. Step 2: Convert to fraction form
    835.52/1,150.99 = 586.35/x
  3. Step 3: Cross multiply
    835.52x = 1,150.99 × 586.35
  4. Step 4: Simplify right side
    835.52x = 674,881.52
  5. Step 5: Solve for x
    x = 674,881.52/835.52
  6. Step 6: Final answer
    x = 807.74

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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.