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Finding the Fourth Proportional to 1,298.94, 1,948.60 and 465.94

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Solution

The fourth proportional to 1,298.94, 1,948.60 and 465.94 is: 698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.94 : 1,948.60 = 465.94 : x
  2. Step 2: Convert to fraction form
    1,298.94/1,948.60 = 465.94/x
  3. Step 3: Cross multiply
    1,298.94x = 1,948.60 × 465.94
  4. Step 4: Simplify right side
    1,298.94x = 907,930.68
  5. Step 5: Solve for x
    x = 907,930.68/1,298.94
  6. Step 6: Final answer
    x = 698.98

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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.