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Finding the Fourth Proportional to 1,405.03, 2,105.64 and 538.87

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Solution

The fourth proportional to 1,405.03, 2,105.64 and 538.87 is: 807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.03 : 2,105.64 = 538.87 : x
  2. Step 2: Convert to fraction form
    1,405.03/2,105.64 = 538.87/x
  3. Step 3: Cross multiply
    1,405.03x = 2,105.64 × 538.87
  4. Step 4: Simplify right side
    1,405.03x = 1,134,666.23
  5. Step 5: Solve for x
    x = 1,134,666.23/1,405.03
  6. Step 6: Final answer
    x = 807.57

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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.