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Finding the Fourth Proportional to 1,291.67, 1,937.48 and 469.96

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Solution

The fourth proportional to 1,291.67, 1,937.48 and 469.96 is: 704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.67 : 1,937.48 = 469.96 : x
  2. Step 2: Convert to fraction form
    1,291.67/1,937.48 = 469.96/x
  3. Step 3: Cross multiply
    1,291.67x = 1,937.48 × 469.96
  4. Step 4: Simplify right side
    1,291.67x = 910,538.17
  5. Step 5: Solve for x
    x = 910,538.17/1,291.67
  6. Step 6: Final answer
    x = 704.93

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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.