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Finding the Fourth Proportional to 594.06, 885.78 and 583.14

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Solution

The fourth proportional to 594.06, 885.78 and 583.14 is: 869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.06 : 885.78 = 583.14 : x
  2. Step 2: Convert to fraction form
    594.06/885.78 = 583.14/x
  3. Step 3: Cross multiply
    594.06x = 885.78 × 583.14
  4. Step 4: Simplify right side
    594.06x = 516,533.75
  5. Step 5: Solve for x
    x = 516,533.75/594.06
  6. Step 6: Final answer
    x = 869.50

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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.