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Finding the Fourth Proportional to 1,325.42, 1,988.09 and 632.58

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Solution

The fourth proportional to 1,325.42, 1,988.09 and 632.58 is: 948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.42 : 1,988.09 = 632.58 : x
  2. Step 2: Convert to fraction form
    1,325.42/1,988.09 = 632.58/x
  3. Step 3: Cross multiply
    1,325.42x = 1,988.09 × 632.58
  4. Step 4: Simplify right side
    1,325.42x = 1,257,625.97
  5. Step 5: Solve for x
    x = 1,257,625.97/1,325.42
  6. Step 6: Final answer
    x = 948.85

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1.5x scale

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.