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Finding the Fourth Proportional to 841.68, 1,254.06 and 833.76

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Solution

The fourth proportional to 841.68, 1,254.06 and 833.76 is: 1,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.68 : 1,254.06 = 833.76 : x
  2. Step 2: Convert to fraction form
    841.68/1,254.06 = 833.76/x
  3. Step 3: Cross multiply
    841.68x = 1,254.06 × 833.76
  4. Step 4: Simplify right side
    841.68x = 1,045,585.07
  5. Step 5: Solve for x
    x = 1,045,585.07/841.68
  6. Step 6: Final answer
    x = 1,242.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.