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Finding the Fourth Proportional to 765.10, 1,055.66 and 466.48

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Solution

The fourth proportional to 765.10, 1,055.66 and 466.48 is: 643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.10 : 1,055.66 = 466.48 : x
  2. Step 2: Convert to fraction form
    765.10/1,055.66 = 466.48/x
  3. Step 3: Cross multiply
    765.10x = 1,055.66 × 466.48
  4. Step 4: Simplify right side
    765.10x = 492,444.28
  5. Step 5: Solve for x
    x = 492,444.28/765.10
  6. Step 6: Final answer
    x = 643.63

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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.