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Finding the Fourth Proportional to 1,765.16, 2,646.54 and 790.76

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Solution

The fourth proportional to 1,765.16, 2,646.54 and 790.76 is: 1,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.16 : 2,646.54 = 790.76 : x
  2. Step 2: Convert to fraction form
    1,765.16/2,646.54 = 790.76/x
  3. Step 3: Cross multiply
    1,765.16x = 2,646.54 × 790.76
  4. Step 4: Simplify right side
    1,765.16x = 2,092,777.97
  5. Step 5: Solve for x
    x = 2,092,777.97/1,765.16
  6. Step 6: Final answer
    x = 1,185.60

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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.