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Finding the Fourth Proportional to 699, 964.50 and 477.88

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Solution

The fourth proportional to 699, 964.50 and 477.88 is: 659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    699 : 964.50 = 477.88 : x
  2. Step 2: Convert to fraction form
    699/964.50 = 477.88/x
  3. Step 3: Cross multiply
    699x = 964.50 × 477.88
  4. Step 4: Simplify right side
    699x = 460,915.26
  5. Step 5: Solve for x
    x = 460,915.26/699
  6. Step 6: Final answer
    x = 659.39

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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.