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Finding the Fourth Proportional to 1,051.51, 1,451.17 and 609.42

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Solution

The fourth proportional to 1,051.51, 1,451.17 and 609.42 is: 841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.51 : 1,451.17 = 609.42 : x
  2. Step 2: Convert to fraction form
    1,051.51/1,451.17 = 609.42/x
  3. Step 3: Cross multiply
    1,051.51x = 1,451.17 × 609.42
  4. Step 4: Simplify right side
    1,051.51x = 884,372.02
  5. Step 5: Solve for x
    x = 884,372.02/1,051.51
  6. Step 6: Final answer
    x = 841.05

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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.