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Finding the Fourth Proportional to 877.59, 1,211.46 and 583.26

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Solution

The fourth proportional to 877.59, 1,211.46 and 583.26 is: 805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.59 : 1,211.46 = 583.26 : x
  2. Step 2: Convert to fraction form
    877.59/1,211.46 = 583.26/x
  3. Step 3: Cross multiply
    877.59x = 1,211.46 × 583.26
  4. Step 4: Simplify right side
    877.59x = 706,596.16
  5. Step 5: Solve for x
    x = 706,596.16/877.59
  6. Step 6: Final answer
    x = 805.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.