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Finding the Fourth Proportional to 589.61, 877.95 and 583.08

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Solution

The fourth proportional to 589.61, 877.95 and 583.08 is: 868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.61 : 877.95 = 583.08 : x
  2. Step 2: Convert to fraction form
    589.61/877.95 = 583.08/x
  3. Step 3: Cross multiply
    589.61x = 877.95 × 583.08
  4. Step 4: Simplify right side
    589.61x = 511,915.09
  5. Step 5: Solve for x
    x = 511,915.09/589.61
  6. Step 6: Final answer
    x = 868.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.