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Finding the Fourth Proportional to 693.65, 1,041.38 and 464.01

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Solution

The fourth proportional to 693.65, 1,041.38 and 464.01 is: 696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.65 : 1,041.38 = 464.01 : x
  2. Step 2: Convert to fraction form
    693.65/1,041.38 = 464.01/x
  3. Step 3: Cross multiply
    693.65x = 1,041.38 × 464.01
  4. Step 4: Simplify right side
    693.65x = 483,210.88
  5. Step 5: Solve for x
    x = 483,210.88/693.65
  6. Step 6: Final answer
    x = 696.62

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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.