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Finding the Fourth Proportional to 1,417.00, 2,123.33 and 594.82

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Solution

The fourth proportional to 1,417.00, 2,123.33 and 594.82 is: 891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.00 : 2,123.33 = 594.82 : x
  2. Step 2: Convert to fraction form
    1,417.00/2,123.33 = 594.82/x
  3. Step 3: Cross multiply
    1,417.00x = 2,123.33 × 594.82
  4. Step 4: Simplify right side
    1,417.00x = 1,263,007.27
  5. Step 5: Solve for x
    x = 1,263,007.27/1,417.00
  6. Step 6: Final answer
    x = 891.33

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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.