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Finding the Fourth Proportional to 905.30, 1,358.94 and 702.32

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Solution

The fourth proportional to 905.30, 1,358.94 and 702.32 is: 1,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.30 : 1,358.94 = 702.32 : x
  2. Step 2: Convert to fraction form
    905.30/1,358.94 = 702.32/x
  3. Step 3: Cross multiply
    905.30x = 1,358.94 × 702.32
  4. Step 4: Simplify right side
    905.30x = 954,410.74
  5. Step 5: Solve for x
    x = 954,410.74/905.30
  6. Step 6: Final answer
    x = 1,054.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.