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Finding the Fourth Proportional to 1,046.08, 1,442.16 and 714

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Solution

The fourth proportional to 1,046.08, 1,442.16 and 714 is: 984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.08 : 1,442.16 = 714 : x
  2. Step 2: Convert to fraction form
    1,046.08/1,442.16 = 714/x
  3. Step 3: Cross multiply
    1,046.08x = 1,442.16 × 714
  4. Step 4: Simplify right side
    1,046.08x = 1,029,702.24
  5. Step 5: Solve for x
    x = 1,029,702.24/1,046.08
  6. Step 6: Final answer
    x = 984.34

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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.