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Finding the Fourth Proportional to 877.06, 1,316.35 and 511.35

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Solution

The fourth proportional to 877.06, 1,316.35 and 511.35 is: 767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.06 : 1,316.35 = 511.35 : x
  2. Step 2: Convert to fraction form
    877.06/1,316.35 = 511.35/x
  3. Step 3: Cross multiply
    877.06x = 1,316.35 × 511.35
  4. Step 4: Simplify right side
    877.06x = 673,115.57
  5. Step 5: Solve for x
    x = 673,115.57/877.06
  6. Step 6: Final answer
    x = 767.47

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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.