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Finding the Fourth Proportional to 1,697.65, 2,546.05 and 465.07

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Solution

The fourth proportional to 1,697.65, 2,546.05 and 465.07 is: 697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.65 : 2,546.05 = 465.07 : x
  2. Step 2: Convert to fraction form
    1,697.65/2,546.05 = 465.07/x
  3. Step 3: Cross multiply
    1,697.65x = 2,546.05 × 465.07
  4. Step 4: Simplify right side
    1,697.65x = 1,184,091.47
  5. Step 5: Solve for x
    x = 1,184,091.47/1,697.65
  6. Step 6: Final answer
    x = 697.49

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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.