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Finding the Fourth Proportional to 1,256.42, 1,884 and 598.10

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Solution

The fourth proportional to 1,256.42, 1,884 and 598.10 is: 896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.42 : 1,884 = 598.10 : x
  2. Step 2: Convert to fraction form
    1,256.42/1,884 = 598.10/x
  3. Step 3: Cross multiply
    1,256.42x = 1,884 × 598.10
  4. Step 4: Simplify right side
    1,256.42x = 1,126,820.40
  5. Step 5: Solve for x
    x = 1,126,820.40/1,256.42
  6. Step 6: Final answer
    x = 896.85

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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.