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Finding the Fourth Proportional to 1,113.92, 1,536.48 and 647.84

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Solution

The fourth proportional to 1,113.92, 1,536.48 and 647.84 is: 893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.92 : 1,536.48 = 647.84 : x
  2. Step 2: Convert to fraction form
    1,113.92/1,536.48 = 647.84/x
  3. Step 3: Cross multiply
    1,113.92x = 1,536.48 × 647.84
  4. Step 4: Simplify right side
    1,113.92x = 995,393.20
  5. Step 5: Solve for x
    x = 995,393.20/1,113.92
  6. Step 6: Final answer
    x = 893.59

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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.