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Finding the Fourth Proportional to 601.76, 897.56 and 583.54

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Solution

The fourth proportional to 601.76, 897.56 and 583.54 is: 870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.76 : 897.56 = 583.54 : x
  2. Step 2: Convert to fraction form
    601.76/897.56 = 583.54/x
  3. Step 3: Cross multiply
    601.76x = 897.56 × 583.54
  4. Step 4: Simplify right side
    601.76x = 523,762.16
  5. Step 5: Solve for x
    x = 523,762.16/601.76
  6. Step 6: Final answer
    x = 870.38

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Why These Related Problems?

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