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Finding the Fourth Proportional to 1,098.63, 1,636.54 and 1,037.07

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Solution

The fourth proportional to 1,098.63, 1,636.54 and 1,037.07 is: 1,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.63 : 1,636.54 = 1,037.07 : x
  2. Step 2: Convert to fraction form
    1,098.63/1,636.54 = 1,037.07/x
  3. Step 3: Cross multiply
    1,098.63x = 1,636.54 × 1,037.07
  4. Step 4: Simplify right side
    1,098.63x = 1,697,203.95
  5. Step 5: Solve for x
    x = 1,697,203.95/1,098.63
  6. Step 6: Final answer
    x = 1,544.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.