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Finding the Fourth Proportional to 1,025.04, 1,536.84 and 375.68

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Solution

The fourth proportional to 1,025.04, 1,536.84 and 375.68 is: 563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.04 : 1,536.84 = 375.68 : x
  2. Step 2: Convert to fraction form
    1,025.04/1,536.84 = 375.68/x
  3. Step 3: Cross multiply
    1,025.04x = 1,536.84 × 375.68
  4. Step 4: Simplify right side
    1,025.04x = 577,360.05
  5. Step 5: Solve for x
    x = 577,360.05/1,025.04
  6. Step 6: Final answer
    x = 563.26

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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.