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Finding the Fourth Proportional to 777.47, 1,073.05 and 483.03

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Solution

The fourth proportional to 777.47, 1,073.05 and 483.03 is: 666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.47 : 1,073.05 = 483.03 : x
  2. Step 2: Convert to fraction form
    777.47/1,073.05 = 483.03/x
  3. Step 3: Cross multiply
    777.47x = 1,073.05 × 483.03
  4. Step 4: Simplify right side
    777.47x = 518,314.13
  5. Step 5: Solve for x
    x = 518,314.13/777.47
  6. Step 6: Final answer
    x = 666.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.