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Finding the Fourth Proportional to 841.10, 1,160.64 and 486.95

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Solution

The fourth proportional to 841.10, 1,160.64 and 486.95 is: 671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.10 : 1,160.64 = 486.95 : x
  2. Step 2: Convert to fraction form
    841.10/1,160.64 = 486.95/x
  3. Step 3: Cross multiply
    841.10x = 1,160.64 × 486.95
  4. Step 4: Simplify right side
    841.10x = 565,167.84
  5. Step 5: Solve for x
    x = 565,167.84/841.10
  6. Step 6: Final answer
    x = 671.94

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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.