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Finding the Fourth Proportional to 1,291.52, 1,935.98 and 469.57

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Solution

The fourth proportional to 1,291.52, 1,935.98 and 469.57 is: 703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.52 : 1,935.98 = 469.57 : x
  2. Step 2: Convert to fraction form
    1,291.52/1,935.98 = 469.57/x
  3. Step 3: Cross multiply
    1,291.52x = 1,935.98 × 469.57
  4. Step 4: Simplify right side
    1,291.52x = 909,078.13
  5. Step 5: Solve for x
    x = 909,078.13/1,291.52
  6. Step 6: Final answer
    x = 703.89

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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.