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Finding the Fourth Proportional to 1,260.40, 1,888.74 and 610.36

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Solution

The fourth proportional to 1,260.40, 1,888.74 and 610.36 is: 914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.40 : 1,888.74 = 610.36 : x
  2. Step 2: Convert to fraction form
    1,260.40/1,888.74 = 610.36/x
  3. Step 3: Cross multiply
    1,260.40x = 1,888.74 × 610.36
  4. Step 4: Simplify right side
    1,260.40x = 1,152,811.35
  5. Step 5: Solve for x
    x = 1,152,811.35/1,260.40
  6. Step 6: Final answer
    x = 914.64

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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.