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Finding the Fourth Proportional to 1,010.90, 1,513.65 and 594.09

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Solution

The fourth proportional to 1,010.90, 1,513.65 and 594.09 is: 889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.90 : 1,513.65 = 594.09 : x
  2. Step 2: Convert to fraction form
    1,010.90/1,513.65 = 594.09/x
  3. Step 3: Cross multiply
    1,010.90x = 1,513.65 × 594.09
  4. Step 4: Simplify right side
    1,010.90x = 899,236.76
  5. Step 5: Solve for x
    x = 899,236.76/1,010.90
  6. Step 6: Final answer
    x = 889.54

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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.