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Finding the Fourth Proportional to 841.17, 1,160.90 and 509.61

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Solution

The fourth proportional to 841.17, 1,160.90 and 509.61 is: 703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.17 : 1,160.90 = 509.61 : x
  2. Step 2: Convert to fraction form
    841.17/1,160.90 = 509.61/x
  3. Step 3: Cross multiply
    841.17x = 1,160.90 × 509.61
  4. Step 4: Simplify right side
    841.17x = 591,606.25
  5. Step 5: Solve for x
    x = 591,606.25/841.17
  6. Step 6: Final answer
    x = 703.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.