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Finding the Fourth Proportional to 1,325.25, 1,987.00 and 632.03

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Solution

The fourth proportional to 1,325.25, 1,987.00 and 632.03 is: 947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.25 : 1,987.00 = 632.03 : x
  2. Step 2: Convert to fraction form
    1,325.25/1,987.00 = 632.03/x
  3. Step 3: Cross multiply
    1,325.25x = 1,987.00 × 632.03
  4. Step 4: Simplify right side
    1,325.25x = 1,255,832.09
  5. Step 5: Solve for x
    x = 1,255,832.09/1,325.25
  6. Step 6: Final answer
    x = 947.62

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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.