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Finding the Fourth Proportional to 1,097.62, 1,514.70 and 600.28

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Solution

The fourth proportional to 1,097.62, 1,514.70 and 600.28 is: 828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.62 : 1,514.70 = 600.28 : x
  2. Step 2: Convert to fraction form
    1,097.62/1,514.70 = 600.28/x
  3. Step 3: Cross multiply
    1,097.62x = 1,514.70 × 600.28
  4. Step 4: Simplify right side
    1,097.62x = 909,244.12
  5. Step 5: Solve for x
    x = 909,244.12/1,097.62
  6. Step 6: Final answer
    x = 828.38

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1.5x scale

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.