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Finding the Fourth Proportional to 1,041.35, 1,561.93 and 425.11

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Solution

The fourth proportional to 1,041.35, 1,561.93 and 425.11 is: 637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.35 : 1,561.93 = 425.11 : x
  2. Step 2: Convert to fraction form
    1,041.35/1,561.93 = 425.11/x
  3. Step 3: Cross multiply
    1,041.35x = 1,561.93 × 425.11
  4. Step 4: Simplify right side
    1,041.35x = 663,989.94
  5. Step 5: Solve for x
    x = 663,989.94/1,041.35
  6. Step 6: Final answer
    x = 637.62

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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.