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Finding the Fourth Proportional to 1,239.35, 1,711.46 and 798.02

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Solution

The fourth proportional to 1,239.35, 1,711.46 and 798.02 is: 1,102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.35 : 1,711.46 = 798.02 : x
  2. Step 2: Convert to fraction form
    1,239.35/1,711.46 = 798.02/x
  3. Step 3: Cross multiply
    1,239.35x = 1,711.46 × 798.02
  4. Step 4: Simplify right side
    1,239.35x = 1,365,779.31
  5. Step 5: Solve for x
    x = 1,365,779.31/1,239.35
  6. Step 6: Final answer
    x = 1,102.01

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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.