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Finding the Fourth Proportional to 877.56, 1,211.04 and 582.84

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Solution

The fourth proportional to 877.56, 1,211.04 and 582.84 is: 804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.56 : 1,211.04 = 582.84 : x
  2. Step 2: Convert to fraction form
    877.56/1,211.04 = 582.84/x
  3. Step 3: Cross multiply
    877.56x = 1,211.04 × 582.84
  4. Step 4: Simplify right side
    877.56x = 705,842.55
  5. Step 5: Solve for x
    x = 705,842.55/877.56
  6. Step 6: Final answer
    x = 804.32

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1.5x scale

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.