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Finding the Fourth Proportional to 1,298.16, 1,948.26 and 477

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Solution

The fourth proportional to 1,298.16, 1,948.26 and 477 is: 715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.16 : 1,948.26 = 477 : x
  2. Step 2: Convert to fraction form
    1,298.16/1,948.26 = 477/x
  3. Step 3: Cross multiply
    1,298.16x = 1,948.26 × 477
  4. Step 4: Simplify right side
    1,298.16x = 929,320.02
  5. Step 5: Solve for x
    x = 929,320.02/1,298.16
  6. Step 6: Final answer
    x = 715.87

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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.