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Finding the Fourth Proportional to 1,188.68, 1,783.50 and 538.76

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Solution

The fourth proportional to 1,188.68, 1,783.50 and 538.76 is: 808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.68 : 1,783.50 = 538.76 : x
  2. Step 2: Convert to fraction form
    1,188.68/1,783.50 = 538.76/x
  3. Step 3: Cross multiply
    1,188.68x = 1,783.50 × 538.76
  4. Step 4: Simplify right side
    1,188.68x = 960,878.46
  5. Step 5: Solve for x
    x = 960,878.46/1,188.68
  6. Step 6: Final answer
    x = 808.36

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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.