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Finding the Fourth Proportional to 841.34, 1,160.52 and 491.78

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Solution

The fourth proportional to 841.34, 1,160.52 and 491.78 is: 678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.34 : 1,160.52 = 491.78 : x
  2. Step 2: Convert to fraction form
    841.34/1,160.52 = 491.78/x
  3. Step 3: Cross multiply
    841.34x = 1,160.52 × 491.78
  4. Step 4: Simplify right side
    841.34x = 570,720.53
  5. Step 5: Solve for x
    x = 570,720.53/841.34
  6. Step 6: Final answer
    x = 678.35

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Why These Related Problems?

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