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Finding the Fourth Proportional to 841.59, 1,261.59 and 532.50

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Solution

The fourth proportional to 841.59, 1,261.59 and 532.50 is: 798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.59 : 1,261.59 = 532.50 : x
  2. Step 2: Convert to fraction form
    841.59/1,261.59 = 532.50/x
  3. Step 3: Cross multiply
    841.59x = 1,261.59 × 532.50
  4. Step 4: Simplify right side
    841.59x = 671,796.68
  5. Step 5: Solve for x
    x = 671,796.68/841.59
  6. Step 6: Final answer
    x = 798.25

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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.