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Finding the Fourth Proportional to 1,097.60, 1,509.84 and 896.18

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Solution

The fourth proportional to 1,097.60, 1,509.84 and 896.18 is: 1,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.60 : 1,509.84 = 896.18 : x
  2. Step 2: Convert to fraction form
    1,097.60/1,509.84 = 896.18/x
  3. Step 3: Cross multiply
    1,097.60x = 1,509.84 × 896.18
  4. Step 4: Simplify right side
    1,097.60x = 1,353,080.86
  5. Step 5: Solve for x
    x = 1,353,080.86/1,097.60
  6. Step 6: Final answer
    x = 1,232.77

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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.