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Finding the Fourth Proportional to 1,410.35, 2,115.18 and 588.63

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Solution

The fourth proportional to 1,410.35, 2,115.18 and 588.63 is: 882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.35 : 2,115.18 = 588.63 : x
  2. Step 2: Convert to fraction form
    1,410.35/2,115.18 = 588.63/x
  3. Step 3: Cross multiply
    1,410.35x = 2,115.18 × 588.63
  4. Step 4: Simplify right side
    1,410.35x = 1,245,058.40
  5. Step 5: Solve for x
    x = 1,245,058.40/1,410.35
  6. Step 6: Final answer
    x = 882.80

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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.