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Finding the Fourth Proportional to 1,046.32, 1,442.28 and 837.34

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Solution

The fourth proportional to 1,046.32, 1,442.28 and 837.34 is: 1,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.32 : 1,442.28 = 837.34 : x
  2. Step 2: Convert to fraction form
    1,046.32/1,442.28 = 837.34/x
  3. Step 3: Cross multiply
    1,046.32x = 1,442.28 × 837.34
  4. Step 4: Simplify right side
    1,046.32x = 1,207,678.74
  5. Step 5: Solve for x
    x = 1,207,678.74/1,046.32
  6. Step 6: Final answer
    x = 1,154.22

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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.