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Finding the Fourth Proportional to 1,393.48, 2,088.70 and 698.48

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Solution

The fourth proportional to 1,393.48, 2,088.70 and 698.48 is: 1,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.48 : 2,088.70 = 698.48 : x
  2. Step 2: Convert to fraction form
    1,393.48/2,088.70 = 698.48/x
  3. Step 3: Cross multiply
    1,393.48x = 2,088.70 × 698.48
  4. Step 4: Simplify right side
    1,393.48x = 1,458,915.18
  5. Step 5: Solve for x
    x = 1,458,915.18/1,393.48
  6. Step 6: Final answer
    x = 1,046.96

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1.5x scale

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.