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Finding the Fourth Proportional to 1,115.64, 1,673.80 and 346.14

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Solution

The fourth proportional to 1,115.64, 1,673.80 and 346.14 is: 519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.64 : 1,673.80 = 346.14 : x
  2. Step 2: Convert to fraction form
    1,115.64/1,673.80 = 346.14/x
  3. Step 3: Cross multiply
    1,115.64x = 1,673.80 × 346.14
  4. Step 4: Simplify right side
    1,115.64x = 579,369.13
  5. Step 5: Solve for x
    x = 579,369.13/1,115.64
  6. Step 6: Final answer
    x = 519.32

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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.