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Finding the Fourth Proportional to 1,764.59, 2,646.75 and 594.69

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Solution

The fourth proportional to 1,764.59, 2,646.75 and 594.69 is: 891.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.59 : 2,646.75 = 594.69 : x
  2. Step 2: Convert to fraction form
    1,764.59/2,646.75 = 594.69/x
  3. Step 3: Cross multiply
    1,764.59x = 2,646.75 × 594.69
  4. Step 4: Simplify right side
    1,764.59x = 1,573,988.06
  5. Step 5: Solve for x
    x = 1,573,988.06/1,764.59
  6. Step 6: Final answer
    x = 891.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.