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Finding the Fourth Proportional to 1,230.07, 1,697.50 and 670.54

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Solution

The fourth proportional to 1,230.07, 1,697.50 and 670.54 is: 925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.07 : 1,697.50 = 670.54 : x
  2. Step 2: Convert to fraction form
    1,230.07/1,697.50 = 670.54/x
  3. Step 3: Cross multiply
    1,230.07x = 1,697.50 × 670.54
  4. Step 4: Simplify right side
    1,230.07x = 1,138,241.65
  5. Step 5: Solve for x
    x = 1,138,241.65/1,230.07
  6. Step 6: Final answer
    x = 925.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.