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Finding the Fourth Proportional to 1,037.64, 1,556.28 and 598.44

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Solution

The fourth proportional to 1,037.64, 1,556.28 and 598.44 is: 897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.64 : 1,556.28 = 598.44 : x
  2. Step 2: Convert to fraction form
    1,037.64/1,556.28 = 598.44/x
  3. Step 3: Cross multiply
    1,037.64x = 1,556.28 × 598.44
  4. Step 4: Simplify right side
    1,037.64x = 931,340.20
  5. Step 5: Solve for x
    x = 931,340.20/1,037.64
  6. Step 6: Final answer
    x = 897.56

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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.