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Finding the Fourth Proportional to 1,144.19, 1,715.76 and 364.04

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Solution

The fourth proportional to 1,144.19, 1,715.76 and 364.04 is: 545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.19 : 1,715.76 = 364.04 : x
  2. Step 2: Convert to fraction form
    1,144.19/1,715.76 = 364.04/x
  3. Step 3: Cross multiply
    1,144.19x = 1,715.76 × 364.04
  4. Step 4: Simplify right side
    1,144.19x = 624,603.13
  5. Step 5: Solve for x
    x = 624,603.13/1,144.19
  6. Step 6: Final answer
    x = 545.89

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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.