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Finding the Fourth Proportional to 1,358.16, 2,037.71 and 536.01

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Solution

The fourth proportional to 1,358.16, 2,037.71 and 536.01 is: 804.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.16 : 2,037.71 = 536.01 : x
  2. Step 2: Convert to fraction form
    1,358.16/2,037.71 = 536.01/x
  3. Step 3: Cross multiply
    1,358.16x = 2,037.71 × 536.01
  4. Step 4: Simplify right side
    1,358.16x = 1,092,232.94
  5. Step 5: Solve for x
    x = 1,092,232.94/1,358.16
  6. Step 6: Final answer
    x = 804.20

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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.