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Finding the Fourth Proportional to 1,329.32, 1,993.98 and 463.64

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Solution

The fourth proportional to 1,329.32, 1,993.98 and 463.64 is: 695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.32 : 1,993.98 = 463.64 : x
  2. Step 2: Convert to fraction form
    1,329.32/1,993.98 = 463.64/x
  3. Step 3: Cross multiply
    1,329.32x = 1,993.98 × 463.64
  4. Step 4: Simplify right side
    1,329.32x = 924,488.89
  5. Step 5: Solve for x
    x = 924,488.89/1,329.32
  6. Step 6: Final answer
    x = 695.46

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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.