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Finding the Fourth Proportional to 699, 964.50 and 475.04

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Solution

The fourth proportional to 699, 964.50 and 475.04 is: 655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    699 : 964.50 = 475.04 : x
  2. Step 2: Convert to fraction form
    699/964.50 = 475.04/x
  3. Step 3: Cross multiply
    699x = 964.50 × 475.04
  4. Step 4: Simplify right side
    699x = 458,176.08
  5. Step 5: Solve for x
    x = 458,176.08/699
  6. Step 6: Final answer
    x = 655.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.