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Finding the Fourth Proportional to 765.52, 1,056.64 and 485.76

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Solution

The fourth proportional to 765.52, 1,056.64 and 485.76 is: 670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.52 : 1,056.64 = 485.76 : x
  2. Step 2: Convert to fraction form
    765.52/1,056.64 = 485.76/x
  3. Step 3: Cross multiply
    765.52x = 1,056.64 × 485.76
  4. Step 4: Simplify right side
    765.52x = 513,273.45
  5. Step 5: Solve for x
    x = 513,273.45/765.52
  6. Step 6: Final answer
    x = 670.49

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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.