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Finding the Fourth Proportional to 1,087.51, 1,500.72 and 645.15

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Solution

The fourth proportional to 1,087.51, 1,500.72 and 645.15 is: 890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.51 : 1,500.72 = 645.15 : x
  2. Step 2: Convert to fraction form
    1,087.51/1,500.72 = 645.15/x
  3. Step 3: Cross multiply
    1,087.51x = 1,500.72 × 645.15
  4. Step 4: Simplify right side
    1,087.51x = 968,189.51
  5. Step 5: Solve for x
    x = 968,189.51/1,087.51
  6. Step 6: Final answer
    x = 890.28

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