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Finding the Fourth Proportional to 1,020.16, 1,530.24 and 370.88

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Solution

The fourth proportional to 1,020.16, 1,530.24 and 370.88 is: 556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.16 : 1,530.24 = 370.88 : x
  2. Step 2: Convert to fraction form
    1,020.16/1,530.24 = 370.88/x
  3. Step 3: Cross multiply
    1,020.16x = 1,530.24 × 370.88
  4. Step 4: Simplify right side
    1,020.16x = 567,535.41
  5. Step 5: Solve for x
    x = 567,535.41/1,020.16
  6. Step 6: Final answer
    x = 556.32

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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.