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Finding the Fourth Proportional to 802.30, 1,106.15 and 658.04

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Solution

The fourth proportional to 802.30, 1,106.15 and 658.04 is: 907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.30 : 1,106.15 = 658.04 : x
  2. Step 2: Convert to fraction form
    802.30/1,106.15 = 658.04/x
  3. Step 3: Cross multiply
    802.30x = 1,106.15 × 658.04
  4. Step 4: Simplify right side
    802.30x = 727,890.42
  5. Step 5: Solve for x
    x = 727,890.42/802.30
  6. Step 6: Final answer
    x = 907.25

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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.