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Finding the Fourth Proportional to 1,117.39, 1,676.40 and 569.47

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Solution

The fourth proportional to 1,117.39, 1,676.40 and 569.47 is: 854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.39 : 1,676.40 = 569.47 : x
  2. Step 2: Convert to fraction form
    1,117.39/1,676.40 = 569.47/x
  3. Step 3: Cross multiply
    1,117.39x = 1,676.40 × 569.47
  4. Step 4: Simplify right side
    1,117.39x = 954,659.51
  5. Step 5: Solve for x
    x = 954,659.51/1,117.39
  6. Step 6: Final answer
    x = 854.37

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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.