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Finding the Fourth Proportional to 1,613.42, 2,419.34 and 573.28

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Solution

The fourth proportional to 1,613.42, 2,419.34 and 573.28 is: 859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.42 : 2,419.34 = 573.28 : x
  2. Step 2: Convert to fraction form
    1,613.42/2,419.34 = 573.28/x
  3. Step 3: Cross multiply
    1,613.42x = 2,419.34 × 573.28
  4. Step 4: Simplify right side
    1,613.42x = 1,386,950.32
  5. Step 5: Solve for x
    x = 1,386,950.32/1,613.42
  6. Step 6: Final answer
    x = 859.63

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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.