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Finding the Fourth Proportional to 926.91, 1,384.34 and 802.58

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Solution

The fourth proportional to 926.91, 1,384.34 and 802.58 is: 1,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.91 : 1,384.34 = 802.58 : x
  2. Step 2: Convert to fraction form
    926.91/1,384.34 = 802.58/x
  3. Step 3: Cross multiply
    926.91x = 1,384.34 × 802.58
  4. Step 4: Simplify right side
    926.91x = 1,111,032.66
  5. Step 5: Solve for x
    x = 1,111,032.66/926.91
  6. Step 6: Final answer
    x = 1,198.64

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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.