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Finding the Fourth Proportional to 1,387.74, 1,914.96 and 798.24

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Solution

The fourth proportional to 1,387.74, 1,914.96 and 798.24 is: 1,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.74 : 1,914.96 = 798.24 : x
  2. Step 2: Convert to fraction form
    1,387.74/1,914.96 = 798.24/x
  3. Step 3: Cross multiply
    1,387.74x = 1,914.96 × 798.24
  4. Step 4: Simplify right side
    1,387.74x = 1,528,597.67
  5. Step 5: Solve for x
    x = 1,528,597.67/1,387.74
  6. Step 6: Final answer
    x = 1,101.50

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1.5x scale

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.