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Finding the Fourth Proportional to 841.76, 1,162.04 and 646.14

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Solution

The fourth proportional to 841.76, 1,162.04 and 646.14 is: 891.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.76 : 1,162.04 = 646.14 : x
  2. Step 2: Convert to fraction form
    841.76/1,162.04 = 646.14/x
  3. Step 3: Cross multiply
    841.76x = 1,162.04 × 646.14
  4. Step 4: Simplify right side
    841.76x = 750,840.53
  5. Step 5: Solve for x
    x = 750,840.53/841.76
  6. Step 6: Final answer
    x = 891.99

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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.