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Finding the Fourth Proportional to 1,315.32, 1,817.13 and 983.18

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Solution

The fourth proportional to 1,315.32, 1,817.13 and 983.18 is: 1,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.32 : 1,817.13 = 983.18 : x
  2. Step 2: Convert to fraction form
    1,315.32/1,817.13 = 983.18/x
  3. Step 3: Cross multiply
    1,315.32x = 1,817.13 × 983.18
  4. Step 4: Simplify right side
    1,315.32x = 1,786,556.79
  5. Step 5: Solve for x
    x = 1,786,556.79/1,315.32
  6. Step 6: Final answer
    x = 1,358.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.