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Finding the Fourth Proportional to 765.13, 1,056.07 and 466.58

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Solution

The fourth proportional to 765.13, 1,056.07 and 466.58 is: 643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.13 : 1,056.07 = 466.58 : x
  2. Step 2: Convert to fraction form
    765.13/1,056.07 = 466.58/x
  3. Step 3: Cross multiply
    765.13x = 1,056.07 × 466.58
  4. Step 4: Simplify right side
    765.13x = 492,735.86
  5. Step 5: Solve for x
    x = 492,735.86/765.13
  6. Step 6: Final answer
    x = 643.99

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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.