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Finding the Fourth Proportional to 1,097.67, 1,514.77 and 600.30

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Solution

The fourth proportional to 1,097.67, 1,514.77 and 600.30 is: 828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.67 : 1,514.77 = 600.30 : x
  2. Step 2: Convert to fraction form
    1,097.67/1,514.77 = 600.30/x
  3. Step 3: Cross multiply
    1,097.67x = 1,514.77 × 600.30
  4. Step 4: Simplify right side
    1,097.67x = 909,311.14
  5. Step 5: Solve for x
    x = 909,311.14/1,097.67
  6. Step 6: Final answer
    x = 828.40

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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.