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Finding the Fourth Proportional to 1,087.37, 1,500.57 and 645.35

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Solution

The fourth proportional to 1,087.37, 1,500.57 and 645.35 is: 890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.37 : 1,500.57 = 645.35 : x
  2. Step 2: Convert to fraction form
    1,087.37/1,500.57 = 645.35/x
  3. Step 3: Cross multiply
    1,087.37x = 1,500.57 × 645.35
  4. Step 4: Simplify right side
    1,087.37x = 968,392.85
  5. Step 5: Solve for x
    x = 968,392.85/1,087.37
  6. Step 6: Final answer
    x = 890.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.