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Finding the Fourth Proportional to 1,325.61, 1,990.31 and 962.19

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Solution

The fourth proportional to 1,325.61, 1,990.31 and 962.19 is: 1,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.61 : 1,990.31 = 962.19 : x
  2. Step 2: Convert to fraction form
    1,325.61/1,990.31 = 962.19/x
  3. Step 3: Cross multiply
    1,325.61x = 1,990.31 × 962.19
  4. Step 4: Simplify right side
    1,325.61x = 1,915,051.57
  5. Step 5: Solve for x
    x = 1,915,051.57/1,325.61
  6. Step 6: Final answer
    x = 1,444.66

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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.