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Finding the Fourth Proportional to 1,257.49, 1,886.54 and 435.76

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Solution

The fourth proportional to 1,257.49, 1,886.54 and 435.76 is: 653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.49 : 1,886.54 = 435.76 : x
  2. Step 2: Convert to fraction form
    1,257.49/1,886.54 = 435.76/x
  3. Step 3: Cross multiply
    1,257.49x = 1,886.54 × 435.76
  4. Step 4: Simplify right side
    1,257.49x = 822,078.67
  5. Step 5: Solve for x
    x = 822,078.67/1,257.49
  6. Step 6: Final answer
    x = 653.75

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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.