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Finding the Fourth Proportional to 1,260.99, 1,740.02 and 701.33

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Solution

The fourth proportional to 1,260.99, 1,740.02 and 701.33 is: 967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.99 : 1,740.02 = 701.33 : x
  2. Step 2: Convert to fraction form
    1,260.99/1,740.02 = 701.33/x
  3. Step 3: Cross multiply
    1,260.99x = 1,740.02 × 701.33
  4. Step 4: Simplify right side
    1,260.99x = 1,220,316.02
  5. Step 5: Solve for x
    x = 1,220,316.02/1,260.99
  6. Step 6: Final answer
    x = 967.74

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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.