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Finding the Fourth Proportional to 597.48, 890.13 and 577.95

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Solution

The fourth proportional to 597.48, 890.13 and 577.95 is: 861.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.48 : 890.13 = 577.95 : x
  2. Step 2: Convert to fraction form
    597.48/890.13 = 577.95/x
  3. Step 3: Cross multiply
    597.48x = 890.13 × 577.95
  4. Step 4: Simplify right side
    597.48x = 514,450.63
  5. Step 5: Solve for x
    x = 514,450.63/597.48
  6. Step 6: Final answer
    x = 861.03

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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.