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Finding the Fourth Proportional to 1,162.41, 1,743.63 and 931.01

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Solution

The fourth proportional to 1,162.41, 1,743.63 and 931.01 is: 1,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.41 : 1,743.63 = 931.01 : x
  2. Step 2: Convert to fraction form
    1,162.41/1,743.63 = 931.01/x
  3. Step 3: Cross multiply
    1,162.41x = 1,743.63 × 931.01
  4. Step 4: Simplify right side
    1,162.41x = 1,623,328.25
  5. Step 5: Solve for x
    x = 1,623,328.25/1,162.41
  6. Step 6: Final answer
    x = 1,396.52

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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.