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Finding the Fourth Proportional to 1,256.13, 1,885.28 and 598.82

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Solution

The fourth proportional to 1,256.13, 1,885.28 and 598.82 is: 898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.13 : 1,885.28 = 598.82 : x
  2. Step 2: Convert to fraction form
    1,256.13/1,885.28 = 598.82/x
  3. Step 3: Cross multiply
    1,256.13x = 1,885.28 × 598.82
  4. Step 4: Simplify right side
    1,256.13x = 1,128,930.95
  5. Step 5: Solve for x
    x = 1,128,930.95/1,256.13
  6. Step 6: Final answer
    x = 898.74

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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.