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Finding the Fourth Proportional to 713.34, 1,069.64 and 421.08

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Solution

The fourth proportional to 713.34, 1,069.64 and 421.08 is: 631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.34 : 1,069.64 = 421.08 : x
  2. Step 2: Convert to fraction form
    713.34/1,069.64 = 421.08/x
  3. Step 3: Cross multiply
    713.34x = 1,069.64 × 421.08
  4. Step 4: Simplify right side
    713.34x = 450,404.01
  5. Step 5: Solve for x
    x = 450,404.01/713.34
  6. Step 6: Final answer
    x = 631.40

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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.