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Finding the Fourth Proportional to 1,256.73, 1,884.96 and 434.93

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Solution

The fourth proportional to 1,256.73, 1,884.96 and 434.93 is: 652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.73 : 1,884.96 = 434.93 : x
  2. Step 2: Convert to fraction form
    1,256.73/1,884.96 = 434.93/x
  3. Step 3: Cross multiply
    1,256.73x = 1,884.96 × 434.93
  4. Step 4: Simplify right side
    1,256.73x = 819,816.23
  5. Step 5: Solve for x
    x = 819,816.23/1,256.73
  6. Step 6: Final answer
    x = 652.34

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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.