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Finding the Fourth Proportional to 713.00, 1,069.64 and 420.99

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Solution

The fourth proportional to 713.00, 1,069.64 and 420.99 is: 631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.00 : 1,069.64 = 420.99 : x
  2. Step 2: Convert to fraction form
    713.00/1,069.64 = 420.99/x
  3. Step 3: Cross multiply
    713.00x = 1,069.64 × 420.99
  4. Step 4: Simplify right side
    713.00x = 450,305.64
  5. Step 5: Solve for x
    x = 450,305.64/713.00
  6. Step 6: Final answer
    x = 631.57

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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.