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Finding the Fourth Proportional to 693.04, 1,046.08 and 693.04

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Solution

The fourth proportional to 693.04, 1,046.08 and 693.04 is: 1,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.04 : 1,046.08 = 693.04 : x
  2. Step 2: Convert to fraction form
    693.04/1,046.08 = 693.04/x
  3. Step 3: Cross multiply
    693.04x = 1,046.08 × 693.04
  4. Step 4: Simplify right side
    693.04x = 724,975.28
  5. Step 5: Solve for x
    x = 724,975.28/693.04
  6. Step 6: Final answer
    x = 1,046.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.