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Finding the Fourth Proportional to 1,325.98, 1,987.70 and 632.46

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Solution

The fourth proportional to 1,325.98, 1,987.70 and 632.46 is: 948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.98 : 1,987.70 = 632.46 : x
  2. Step 2: Convert to fraction form
    1,325.98/1,987.70 = 632.46/x
  3. Step 3: Cross multiply
    1,325.98x = 1,987.70 × 632.46
  4. Step 4: Simplify right side
    1,325.98x = 1,257,137.58
  5. Step 5: Solve for x
    x = 1,257,137.58/1,325.98
  6. Step 6: Final answer
    x = 948.08

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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.