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Finding the Fourth Proportional to 697.09, 1,045.64 and 210.13

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Solution

The fourth proportional to 697.09, 1,045.64 and 210.13 is: 315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.09 : 1,045.64 = 210.13 : x
  2. Step 2: Convert to fraction form
    697.09/1,045.64 = 210.13/x
  3. Step 3: Cross multiply
    697.09x = 1,045.64 × 210.13
  4. Step 4: Simplify right side
    697.09x = 219,720.33
  5. Step 5: Solve for x
    x = 219,720.33/697.09
  6. Step 6: Final answer
    x = 315.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.