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Finding the Fourth Proportional to 1,026.42, 1,533.68 and 841.74

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Solution

The fourth proportional to 1,026.42, 1,533.68 and 841.74 is: 1,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.42 : 1,533.68 = 841.74 : x
  2. Step 2: Convert to fraction form
    1,026.42/1,533.68 = 841.74/x
  3. Step 3: Cross multiply
    1,026.42x = 1,533.68 × 841.74
  4. Step 4: Simplify right side
    1,026.42x = 1,290,955.59
  5. Step 5: Solve for x
    x = 1,290,955.59/1,026.42
  6. Step 6: Final answer
    x = 1,257.73

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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.