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Finding the Fourth Proportional to 1,291.04, 1,936.10 and 469.10

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Solution

The fourth proportional to 1,291.04, 1,936.10 and 469.10 is: 703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.04 : 1,936.10 = 469.10 : x
  2. Step 2: Convert to fraction form
    1,291.04/1,936.10 = 469.10/x
  3. Step 3: Cross multiply
    1,291.04x = 1,936.10 × 469.10
  4. Step 4: Simplify right side
    1,291.04x = 908,222.16
  5. Step 5: Solve for x
    x = 908,222.16/1,291.04
  6. Step 6: Final answer
    x = 703.48

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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.