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Finding the Fourth Proportional to 1,095.12, 1,509.57 and 918

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Solution

The fourth proportional to 1,095.12, 1,509.57 and 918 is: 1,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.12 : 1,509.57 = 918 : x
  2. Step 2: Convert to fraction form
    1,095.12/1,509.57 = 918/x
  3. Step 3: Cross multiply
    1,095.12x = 1,509.57 × 918
  4. Step 4: Simplify right side
    1,095.12x = 1,385,785.26
  5. Step 5: Solve for x
    x = 1,385,785.26/1,095.12
  6. Step 6: Final answer
    x = 1,265.42

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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.