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Finding the Fourth Proportional to 1,402.52, 2,104.58 and 569.40

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Solution

The fourth proportional to 1,402.52, 2,104.58 and 569.40 is: 854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.52 : 2,104.58 = 569.40 : x
  2. Step 2: Convert to fraction form
    1,402.52/2,104.58 = 569.40/x
  3. Step 3: Cross multiply
    1,402.52x = 2,104.58 × 569.40
  4. Step 4: Simplify right side
    1,402.52x = 1,198,345.01
  5. Step 5: Solve for x
    x = 1,198,345.01/1,402.52
  6. Step 6: Final answer
    x = 854.43

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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.