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Finding the Fourth Proportional to 1,764.53, 2,646.02 and 594.22

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Solution

The fourth proportional to 1,764.53, 2,646.02 and 594.22 is: 891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.53 : 2,646.02 = 594.22 : x
  2. Step 2: Convert to fraction form
    1,764.53/2,646.02 = 594.22/x
  3. Step 3: Cross multiply
    1,764.53x = 2,646.02 × 594.22
  4. Step 4: Simplify right side
    1,764.53x = 1,572,318.95
  5. Step 5: Solve for x
    x = 1,572,318.95/1,764.53
  6. Step 6: Final answer
    x = 891.07

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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.