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Finding the Fourth Proportional to 1,041.02, 1,561.31 and 310.40

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Solution

The fourth proportional to 1,041.02, 1,561.31 and 310.40 is: 465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.02 : 1,561.31 = 310.40 : x
  2. Step 2: Convert to fraction form
    1,041.02/1,561.31 = 310.40/x
  3. Step 3: Cross multiply
    1,041.02x = 1,561.31 × 310.40
  4. Step 4: Simplify right side
    1,041.02x = 484,621.27
  5. Step 5: Solve for x
    x = 484,621.27/1,041.02
  6. Step 6: Final answer
    x = 465.53

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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.