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Finding the Fourth Proportional to 1,771.01, 2,656.65 and 538.53

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Solution

The fourth proportional to 1,771.01, 2,656.65 and 538.53 is: 807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.01 : 2,656.65 = 538.53 : x
  2. Step 2: Convert to fraction form
    1,771.01/2,656.65 = 538.53/x
  3. Step 3: Cross multiply
    1,771.01x = 2,656.65 × 538.53
  4. Step 4: Simplify right side
    1,771.01x = 1,430,685.72
  5. Step 5: Solve for x
    x = 1,430,685.72/1,771.01
  6. Step 6: Final answer
    x = 807.84

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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.