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Finding the Fourth Proportional to 1,298.28, 1,790.46 and 948.36

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Solution

The fourth proportional to 1,298.28, 1,790.46 and 948.36 is: 1,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.28 : 1,790.46 = 948.36 : x
  2. Step 2: Convert to fraction form
    1,298.28/1,790.46 = 948.36/x
  3. Step 3: Cross multiply
    1,298.28x = 1,790.46 × 948.36
  4. Step 4: Simplify right side
    1,298.28x = 1,698,000.65
  5. Step 5: Solve for x
    x = 1,698,000.65/1,298.28
  6. Step 6: Final answer
    x = 1,307.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.