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Finding the Fourth Proportional to 841.18, 1,261.64 and 430.62

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Solution

The fourth proportional to 841.18, 1,261.64 and 430.62 is: 645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.18 : 1,261.64 = 430.62 : x
  2. Step 2: Convert to fraction form
    841.18/1,261.64 = 430.62/x
  3. Step 3: Cross multiply
    841.18x = 1,261.64 × 430.62
  4. Step 4: Simplify right side
    841.18x = 543,287.42
  5. Step 5: Solve for x
    x = 543,287.42/841.18
  6. Step 6: Final answer
    x = 645.86

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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.