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Finding the Fourth Proportional to 841.59, 1,261.47 and 430.62

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Solution

The fourth proportional to 841.59, 1,261.47 and 430.62 is: 645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.59 : 1,261.47 = 430.62 : x
  2. Step 2: Convert to fraction form
    841.59/1,261.47 = 430.62/x
  3. Step 3: Cross multiply
    841.59x = 1,261.47 × 430.62
  4. Step 4: Simplify right side
    841.59x = 543,211.10
  5. Step 5: Solve for x
    x = 543,211.10/841.59
  6. Step 6: Final answer
    x = 645.46

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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.