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Finding the Fourth Proportional to 1,091.58, 1,636.76 and 507.17

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Solution

The fourth proportional to 1,091.58, 1,636.76 and 507.17 is: 760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.58 : 1,636.76 = 507.17 : x
  2. Step 2: Convert to fraction form
    1,091.58/1,636.76 = 507.17/x
  3. Step 3: Cross multiply
    1,091.58x = 1,636.76 × 507.17
  4. Step 4: Simplify right side
    1,091.58x = 830,104.85
  5. Step 5: Solve for x
    x = 830,104.85/1,091.58
  6. Step 6: Final answer
    x = 760.46

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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.