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Finding the Fourth Proportional to 1,298.73, 1,946.62 and 465.40

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Solution

The fourth proportional to 1,298.73, 1,946.62 and 465.40 is: 697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.73 : 1,946.62 = 465.40 : x
  2. Step 2: Convert to fraction form
    1,298.73/1,946.62 = 465.40/x
  3. Step 3: Cross multiply
    1,298.73x = 1,946.62 × 465.40
  4. Step 4: Simplify right side
    1,298.73x = 905,959.49
  5. Step 5: Solve for x
    x = 905,959.49/1,298.73
  6. Step 6: Final answer
    x = 697.58

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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.