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Finding the Fourth Proportional to 841.01, 1,259.69 and 407.25

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Solution

The fourth proportional to 841.01, 1,259.69 and 407.25 is: 609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.01 : 1,259.69 = 407.25 : x
  2. Step 2: Convert to fraction form
    841.01/1,259.69 = 407.25/x
  3. Step 3: Cross multiply
    841.01x = 1,259.69 × 407.25
  4. Step 4: Simplify right side
    841.01x = 513,006.72
  5. Step 5: Solve for x
    x = 513,006.72/841.01
  6. Step 6: Final answer
    x = 609.99

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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.