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Finding the Fourth Proportional to 1,257.64, 1,886.48 and 477.65

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Solution

The fourth proportional to 1,257.64, 1,886.48 and 477.65 is: 716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.64 : 1,886.48 = 477.65 : x
  2. Step 2: Convert to fraction form
    1,257.64/1,886.48 = 477.65/x
  3. Step 3: Cross multiply
    1,257.64x = 1,886.48 × 477.65
  4. Step 4: Simplify right side
    1,257.64x = 901,077.17
  5. Step 5: Solve for x
    x = 901,077.17/1,257.64
  6. Step 6: Final answer
    x = 716.48

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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.