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Finding the Fourth Proportional to 1,428.40, 1,971.12 and 798.76

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Solution

The fourth proportional to 1,428.40, 1,971.12 and 798.76 is: 1,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.40 : 1,971.12 = 798.76 : x
  2. Step 2: Convert to fraction form
    1,428.40/1,971.12 = 798.76/x
  3. Step 3: Cross multiply
    1,428.40x = 1,971.12 × 798.76
  4. Step 4: Simplify right side
    1,428.40x = 1,574,451.81
  5. Step 5: Solve for x
    x = 1,574,451.81/1,428.40
  6. Step 6: Final answer
    x = 1,102.25

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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.