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Finding the Fourth Proportional to 765.76, 1,056.74 and 416.44

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Solution

The fourth proportional to 765.76, 1,056.74 and 416.44 is: 574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.76 : 1,056.74 = 416.44 : x
  2. Step 2: Convert to fraction form
    765.76/1,056.74 = 416.44/x
  3. Step 3: Cross multiply
    765.76x = 1,056.74 × 416.44
  4. Step 4: Simplify right side
    765.76x = 440,068.81
  5. Step 5: Solve for x
    x = 440,068.81/765.76
  6. Step 6: Final answer
    x = 574.68

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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.