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Finding the Fourth Proportional to 780.64, 1,077.55 and 515.81

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Solution

The fourth proportional to 780.64, 1,077.55 and 515.81 is: 711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.64 : 1,077.55 = 515.81 : x
  2. Step 2: Convert to fraction form
    780.64/1,077.55 = 515.81/x
  3. Step 3: Cross multiply
    780.64x = 1,077.55 × 515.81
  4. Step 4: Simplify right side
    780.64x = 555,811.07
  5. Step 5: Solve for x
    x = 555,811.07/780.64
  6. Step 6: Final answer
    x = 711.99

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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.