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Finding the Fourth Proportional to 697.93, 1,046.51 and 451.10

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Solution

The fourth proportional to 697.93, 1,046.51 and 451.10 is: 676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.93 : 1,046.51 = 451.10 : x
  2. Step 2: Convert to fraction form
    697.93/1,046.51 = 451.10/x
  3. Step 3: Cross multiply
    697.93x = 1,046.51 × 451.10
  4. Step 4: Simplify right side
    697.93x = 472,075.43
  5. Step 5: Solve for x
    x = 472,075.43/697.93
  6. Step 6: Final answer
    x = 676.40

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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.