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Finding the Fourth Proportional to 835.57, 1,152.55 and 670.18

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Solution

The fourth proportional to 835.57, 1,152.55 and 670.18 is: 924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.57 : 1,152.55 = 670.18 : x
  2. Step 2: Convert to fraction form
    835.57/1,152.55 = 670.18/x
  3. Step 3: Cross multiply
    835.57x = 1,152.55 × 670.18
  4. Step 4: Simplify right side
    835.57x = 772,406.85
  5. Step 5: Solve for x
    x = 772,406.85/835.57
  6. Step 6: Final answer
    x = 924.41

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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.