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Finding the Fourth Proportional to 1,156.88, 1,735.46 and 507.54

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Solution

The fourth proportional to 1,156.88, 1,735.46 and 507.54 is: 761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.88 : 1,735.46 = 507.54 : x
  2. Step 2: Convert to fraction form
    1,156.88/1,735.46 = 507.54/x
  3. Step 3: Cross multiply
    1,156.88x = 1,735.46 × 507.54
  4. Step 4: Simplify right side
    1,156.88x = 880,815.37
  5. Step 5: Solve for x
    x = 880,815.37/1,156.88
  6. Step 6: Final answer
    x = 761.37

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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.