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Finding the Fourth Proportional to 1,315.46, 1,974.41 and 903.58

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Solution

The fourth proportional to 1,315.46, 1,974.41 and 903.58 is: 1,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.46 : 1,974.41 = 903.58 : x
  2. Step 2: Convert to fraction form
    1,315.46/1,974.41 = 903.58/x
  3. Step 3: Cross multiply
    1,315.46x = 1,974.41 × 903.58
  4. Step 4: Simplify right side
    1,315.46x = 1,784,031.32
  5. Step 5: Solve for x
    x = 1,784,031.32/1,315.46
  6. Step 6: Final answer
    x = 1,356.20

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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.