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Finding the Fourth Proportional to 802.90, 1,106.72 and 655.28

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Solution

The fourth proportional to 802.90, 1,106.72 and 655.28 is: 903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.90 : 1,106.72 = 655.28 : x
  2. Step 2: Convert to fraction form
    802.90/1,106.72 = 655.28/x
  3. Step 3: Cross multiply
    802.90x = 1,106.72 × 655.28
  4. Step 4: Simplify right side
    802.90x = 725,211.48
  5. Step 5: Solve for x
    x = 725,211.48/802.90
  6. Step 6: Final answer
    x = 903.24

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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.