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Finding the Fourth Proportional to 1,298.64, 1,948.20 and 812.28

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Solution

The fourth proportional to 1,298.64, 1,948.20 and 812.28 is: 1,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.64 : 1,948.20 = 812.28 : x
  2. Step 2: Convert to fraction form
    1,298.64/1,948.20 = 812.28/x
  3. Step 3: Cross multiply
    1,298.64x = 1,948.20 × 812.28
  4. Step 4: Simplify right side
    1,298.64x = 1,582,483.90
  5. Step 5: Solve for x
    x = 1,582,483.90/1,298.64
  6. Step 6: Final answer
    x = 1,218.57

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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.