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Finding the Fourth Proportional to 1,123.13, 1,684.71 and 353.63

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Solution

The fourth proportional to 1,123.13, 1,684.71 and 353.63 is: 530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.13 : 1,684.71 = 353.63 : x
  2. Step 2: Convert to fraction form
    1,123.13/1,684.71 = 353.63/x
  3. Step 3: Cross multiply
    1,123.13x = 1,684.71 × 353.63
  4. Step 4: Simplify right side
    1,123.13x = 595,764.00
  5. Step 5: Solve for x
    x = 595,764.00/1,123.13
  6. Step 6: Final answer
    x = 530.45

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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.