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Finding the Fourth Proportional to 777.18, 1,164.93 and 430.35

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Solution

The fourth proportional to 777.18, 1,164.93 and 430.35 is: 645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.18 : 1,164.93 = 430.35 : x
  2. Step 2: Convert to fraction form
    777.18/1,164.93 = 430.35/x
  3. Step 3: Cross multiply
    777.18x = 1,164.93 × 430.35
  4. Step 4: Simplify right side
    777.18x = 501,327.63
  5. Step 5: Solve for x
    x = 501,327.63/777.18
  6. Step 6: Final answer
    x = 645.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.