Home / 1,532.14-2,298.30-506.14

Finding the Fourth Proportional to 1,532.14, 2,298.30 and 506.14

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Solution

The fourth proportional to 1,532.14, 2,298.30 and 506.14 is: 759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.14 : 2,298.30 = 506.14 : x
  2. Step 2: Convert to fraction form
    1,532.14/2,298.30 = 506.14/x
  3. Step 3: Cross multiply
    1,532.14x = 2,298.30 × 506.14
  4. Step 4: Simplify right side
    1,532.14x = 1,163,261.56
  5. Step 5: Solve for x
    x = 1,163,261.56/1,532.14
  6. Step 6: Final answer
    x = 759.24

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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.