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Finding the Fourth Proportional to 1,298.54, 1,946.46 and 972.92

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Solution

The fourth proportional to 1,298.54, 1,946.46 and 972.92 is: 1,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.54 : 1,946.46 = 972.92 : x
  2. Step 2: Convert to fraction form
    1,298.54/1,946.46 = 972.92/x
  3. Step 3: Cross multiply
    1,298.54x = 1,946.46 × 972.92
  4. Step 4: Simplify right side
    1,298.54x = 1,893,749.86
  5. Step 5: Solve for x
    x = 1,893,749.86/1,298.54
  6. Step 6: Final answer
    x = 1,458.37

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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.