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Finding the Fourth Proportional to 968.24, 1,335.30 and 802.16

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Solution

The fourth proportional to 968.24, 1,335.30 and 802.16 is: 1,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.24 : 1,335.30 = 802.16 : x
  2. Step 2: Convert to fraction form
    968.24/1,335.30 = 802.16/x
  3. Step 3: Cross multiply
    968.24x = 1,335.30 × 802.16
  4. Step 4: Simplify right side
    968.24x = 1,071,124.08
  5. Step 5: Solve for x
    x = 1,071,124.08/968.24
  6. Step 6: Final answer
    x = 1,106.26

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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.