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Finding the Fourth Proportional to 762.15, 1,143.47 and 454.35

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Solution

The fourth proportional to 762.15, 1,143.47 and 454.35 is: 681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.15 : 1,143.47 = 454.35 : x
  2. Step 2: Convert to fraction form
    762.15/1,143.47 = 454.35/x
  3. Step 3: Cross multiply
    762.15x = 1,143.47 × 454.35
  4. Step 4: Simplify right side
    762.15x = 519,533.32
  5. Step 5: Solve for x
    x = 519,533.32/762.15
  6. Step 6: Final answer
    x = 681.67

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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.