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Finding the Fourth Proportional to 883.08, 1,210.91 and 852.18

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Solution

The fourth proportional to 883.08, 1,210.91 and 852.18 is: 1,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.08 : 1,210.91 = 852.18 : x
  2. Step 2: Convert to fraction form
    883.08/1,210.91 = 852.18/x
  3. Step 3: Cross multiply
    883.08x = 1,210.91 × 852.18
  4. Step 4: Simplify right side
    883.08x = 1,031,909.02
  5. Step 5: Solve for x
    x = 1,031,909.02/883.08
  6. Step 6: Final answer
    x = 1,168.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.