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Finding the Fourth Proportional to 1,104.16, 1,656.26 and 898.22

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Solution

The fourth proportional to 1,104.16, 1,656.26 and 898.22 is: 1,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.16 : 1,656.26 = 898.22 : x
  2. Step 2: Convert to fraction form
    1,104.16/1,656.26 = 898.22/x
  3. Step 3: Cross multiply
    1,104.16x = 1,656.26 × 898.22
  4. Step 4: Simplify right side
    1,104.16x = 1,487,685.86
  5. Step 5: Solve for x
    x = 1,487,685.86/1,104.16
  6. Step 6: Final answer
    x = 1,347.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.