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Finding the Fourth Proportional to 877.18, 1,315.34 and 512.06

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Solution

The fourth proportional to 877.18, 1,315.34 and 512.06 is: 767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.18 : 1,315.34 = 512.06 : x
  2. Step 2: Convert to fraction form
    877.18/1,315.34 = 512.06/x
  3. Step 3: Cross multiply
    877.18x = 1,315.34 × 512.06
  4. Step 4: Simplify right side
    877.18x = 673,533.00
  5. Step 5: Solve for x
    x = 673,533.00/877.18
  6. Step 6: Final answer
    x = 767.84

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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.