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Finding the Fourth Proportional to 1,156.38, 1,735.28 and 608.95

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Solution

The fourth proportional to 1,156.38, 1,735.28 and 608.95 is: 913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.38 : 1,735.28 = 608.95 : x
  2. Step 2: Convert to fraction form
    1,156.38/1,735.28 = 608.95/x
  3. Step 3: Cross multiply
    1,156.38x = 1,735.28 × 608.95
  4. Step 4: Simplify right side
    1,156.38x = 1,056,698.76
  5. Step 5: Solve for x
    x = 1,056,698.76/1,156.38
  6. Step 6: Final answer
    x = 913.80

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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.