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Finding the Fourth Proportional to 765.37, 1,056.27 and 454.87

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Solution

The fourth proportional to 765.37, 1,056.27 and 454.87 is: 627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.37 : 1,056.27 = 454.87 : x
  2. Step 2: Convert to fraction form
    765.37/1,056.27 = 454.87/x
  3. Step 3: Cross multiply
    765.37x = 1,056.27 × 454.87
  4. Step 4: Simplify right side
    765.37x = 480,465.53
  5. Step 5: Solve for x
    x = 480,465.53/765.37
  6. Step 6: Final answer
    x = 627.76

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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.