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Finding the Fourth Proportional to 1,160.90, 1,741.33 and 283.41

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Solution

The fourth proportional to 1,160.90, 1,741.33 and 283.41 is: 425.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.90 : 1,741.33 = 283.41 : x
  2. Step 2: Convert to fraction form
    1,160.90/1,741.33 = 283.41/x
  3. Step 3: Cross multiply
    1,160.90x = 1,741.33 × 283.41
  4. Step 4: Simplify right side
    1,160.90x = 493,509.63
  5. Step 5: Solve for x
    x = 493,509.63/1,160.90
  6. Step 6: Final answer
    x = 425.11

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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.