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Finding the Fourth Proportional to 1,041.32, 1,561.98 and 464.04

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Solution

The fourth proportional to 1,041.32, 1,561.98 and 464.04 is: 696.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.32 : 1,561.98 = 464.04 : x
  2. Step 2: Convert to fraction form
    1,041.32/1,561.98 = 464.04/x
  3. Step 3: Cross multiply
    1,041.32x = 1,561.98 × 464.04
  4. Step 4: Simplify right side
    1,041.32x = 724,821.20
  5. Step 5: Solve for x
    x = 724,821.20/1,041.32
  6. Step 6: Final answer
    x = 696.06

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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.