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Finding the Fourth Proportional to 1,113.51, 1,536.44 and 647.67

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Solution

The fourth proportional to 1,113.51, 1,536.44 and 647.67 is: 893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.51 : 1,536.44 = 647.67 : x
  2. Step 2: Convert to fraction form
    1,113.51/1,536.44 = 647.67/x
  3. Step 3: Cross multiply
    1,113.51x = 1,536.44 × 647.67
  4. Step 4: Simplify right side
    1,113.51x = 995,102.86
  5. Step 5: Solve for x
    x = 995,102.86/1,113.51
  6. Step 6: Final answer
    x = 893.66

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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.