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Finding the Fourth Proportional to 1,223.59, 1,835.25 and 346.06

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Solution

The fourth proportional to 1,223.59, 1,835.25 and 346.06 is: 519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.59 : 1,835.25 = 346.06 : x
  2. Step 2: Convert to fraction form
    1,223.59/1,835.25 = 346.06/x
  3. Step 3: Cross multiply
    1,223.59x = 1,835.25 × 346.06
  4. Step 4: Simplify right side
    1,223.59x = 635,106.62
  5. Step 5: Solve for x
    x = 635,106.62/1,223.59
  6. Step 6: Final answer
    x = 519.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.