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Finding the Fourth Proportional to 1,156.34, 1,734.52 and 290.66

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Solution

The fourth proportional to 1,156.34, 1,734.52 and 290.66 is: 435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.34 : 1,734.52 = 290.66 : x
  2. Step 2: Convert to fraction form
    1,156.34/1,734.52 = 290.66/x
  3. Step 3: Cross multiply
    1,156.34x = 1,734.52 × 290.66
  4. Step 4: Simplify right side
    1,156.34x = 504,145.46
  5. Step 5: Solve for x
    x = 504,145.46/1,156.34
  6. Step 6: Final answer
    x = 435.98

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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.