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Finding the Fourth Proportional to 1,184.15, 1,776.47 and 362.40

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Solution

The fourth proportional to 1,184.15, 1,776.47 and 362.40 is: 543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.15 : 1,776.47 = 362.40 : x
  2. Step 2: Convert to fraction form
    1,184.15/1,776.47 = 362.40/x
  3. Step 3: Cross multiply
    1,184.15x = 1,776.47 × 362.40
  4. Step 4: Simplify right side
    1,184.15x = 643,792.73
  5. Step 5: Solve for x
    x = 643,792.73/1,184.15
  6. Step 6: Final answer
    x = 543.67

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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.