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Finding the Fourth Proportional to 1,025.16, 1,536.40 and 375.28

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Solution

The fourth proportional to 1,025.16, 1,536.40 and 375.28 is: 562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.16 : 1,536.40 = 375.28 : x
  2. Step 2: Convert to fraction form
    1,025.16/1,536.40 = 375.28/x
  3. Step 3: Cross multiply
    1,025.16x = 1,536.40 × 375.28
  4. Step 4: Simplify right side
    1,025.16x = 576,580.19
  5. Step 5: Solve for x
    x = 576,580.19/1,025.16
  6. Step 6: Final answer
    x = 562.43

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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.