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Finding the Fourth Proportional to 841.17, 1,160.95 and 526.56

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Solution

The fourth proportional to 841.17, 1,160.95 and 526.56 is: 726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.17 : 1,160.95 = 526.56 : x
  2. Step 2: Convert to fraction form
    841.17/1,160.95 = 526.56/x
  3. Step 3: Cross multiply
    841.17x = 1,160.95 × 526.56
  4. Step 4: Simplify right side
    841.17x = 611,309.83
  5. Step 5: Solve for x
    x = 611,309.83/841.17
  6. Step 6: Final answer
    x = 726.74

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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.