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Finding the Fourth Proportional to 597.79, 898.50 and 585.03

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Solution

The fourth proportional to 597.79, 898.50 and 585.03 is: 879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.79 : 898.50 = 585.03 : x
  2. Step 2: Convert to fraction form
    597.79/898.50 = 585.03/x
  3. Step 3: Cross multiply
    597.79x = 898.50 × 585.03
  4. Step 4: Simplify right side
    597.79x = 525,649.46
  5. Step 5: Solve for x
    x = 525,649.46/597.79
  6. Step 6: Final answer
    x = 879.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.