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Finding the Fourth Proportional to 1,697.54, 2,546.68 and 710.40

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Solution

The fourth proportional to 1,697.54, 2,546.68 and 710.40 is: 1,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.54 : 2,546.68 = 710.40 : x
  2. Step 2: Convert to fraction form
    1,697.54/2,546.68 = 710.40/x
  3. Step 3: Cross multiply
    1,697.54x = 2,546.68 × 710.40
  4. Step 4: Simplify right side
    1,697.54x = 1,809,156.25
  5. Step 5: Solve for x
    x = 1,809,156.25/1,697.54
  6. Step 6: Final answer
    x = 1,065.75

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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.