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Finding the Fourth Proportional to 1,000.84, 1,501.80 and 538.96

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Solution

The fourth proportional to 1,000.84, 1,501.80 and 538.96 is: 808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.84 : 1,501.80 = 538.96 : x
  2. Step 2: Convert to fraction form
    1,000.84/1,501.80 = 538.96/x
  3. Step 3: Cross multiply
    1,000.84x = 1,501.80 × 538.96
  4. Step 4: Simplify right side
    1,000.84x = 809,410.13
  5. Step 5: Solve for x
    x = 809,410.13/1,000.84
  6. Step 6: Final answer
    x = 808.73

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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.