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Finding the Fourth Proportional to 1,764.94, 2,646.85 and 594.70

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Solution

The fourth proportional to 1,764.94, 2,646.85 and 594.70 is: 891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.94 : 2,646.85 = 594.70 : x
  2. Step 2: Convert to fraction form
    1,764.94/2,646.85 = 594.70/x
  3. Step 3: Cross multiply
    1,764.94x = 2,646.85 × 594.70
  4. Step 4: Simplify right side
    1,764.94x = 1,574,081.70
  5. Step 5: Solve for x
    x = 1,574,081.70/1,764.94
  6. Step 6: Final answer
    x = 891.86

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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.