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Finding the Fourth Proportional to 1,291.30, 1,937.86 and 470.28

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Solution

The fourth proportional to 1,291.30, 1,937.86 and 470.28 is: 705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.30 : 1,937.86 = 470.28 : x
  2. Step 2: Convert to fraction form
    1,291.30/1,937.86 = 470.28/x
  3. Step 3: Cross multiply
    1,291.30x = 1,937.86 × 470.28
  4. Step 4: Simplify right side
    1,291.30x = 911,336.80
  5. Step 5: Solve for x
    x = 911,336.80/1,291.30
  6. Step 6: Final answer
    x = 705.75

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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.