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Finding the Fourth Proportional to 1,291.74, 1,937.57 and 470.02

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Solution

The fourth proportional to 1,291.74, 1,937.57 and 470.02 is: 705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.74 : 1,937.57 = 470.02 : x
  2. Step 2: Convert to fraction form
    1,291.74/1,937.57 = 470.02/x
  3. Step 3: Cross multiply
    1,291.74x = 1,937.57 × 470.02
  4. Step 4: Simplify right side
    1,291.74x = 910,696.65
  5. Step 5: Solve for x
    x = 910,696.65/1,291.74
  6. Step 6: Final answer
    x = 705.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.