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Finding the Fourth Proportional to 1,532.16, 2,298.24 and 506.24

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Solution

The fourth proportional to 1,532.16, 2,298.24 and 506.24 is: 759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.16 : 2,298.24 = 506.24 : x
  2. Step 2: Convert to fraction form
    1,532.16/2,298.24 = 506.24/x
  3. Step 3: Cross multiply
    1,532.16x = 2,298.24 × 506.24
  4. Step 4: Simplify right side
    1,532.16x = 1,163,461.02
  5. Step 5: Solve for x
    x = 1,163,461.02/1,532.16
  6. Step 6: Final answer
    x = 759.36

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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.