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Finding the Fourth Proportional to 1,123.76, 1,684.26 and 507.30

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Solution

The fourth proportional to 1,123.76, 1,684.26 and 507.30 is: 760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.76 : 1,684.26 = 507.30 : x
  2. Step 2: Convert to fraction form
    1,123.76/1,684.26 = 507.30/x
  3. Step 3: Cross multiply
    1,123.76x = 1,684.26 × 507.30
  4. Step 4: Simplify right side
    1,123.76x = 854,425.10
  5. Step 5: Solve for x
    x = 854,425.10/1,123.76
  6. Step 6: Final answer
    x = 760.33

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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.