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Finding the Fourth Proportional to 1,358.09, 2,037.80 and 536.95

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Solution

The fourth proportional to 1,358.09, 2,037.80 and 536.95 is: 805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.09 : 2,037.80 = 536.95 : x
  2. Step 2: Convert to fraction form
    1,358.09/2,037.80 = 536.95/x
  3. Step 3: Cross multiply
    1,358.09x = 2,037.80 × 536.95
  4. Step 4: Simplify right side
    1,358.09x = 1,094,192.96
  5. Step 5: Solve for x
    x = 1,094,192.96/1,358.09
  6. Step 6: Final answer
    x = 805.69

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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.