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Finding the Fourth Proportional to 712.90, 983.69 and 414.21

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Solution

The fourth proportional to 712.90, 983.69 and 414.21 is: 571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.90 : 983.69 = 414.21 : x
  2. Step 2: Convert to fraction form
    712.90/983.69 = 414.21/x
  3. Step 3: Cross multiply
    712.90x = 983.69 × 414.21
  4. Step 4: Simplify right side
    712.90x = 407,459.74
  5. Step 5: Solve for x
    x = 407,459.74/712.90
  6. Step 6: Final answer
    x = 571.55

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1.5x scale

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.