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Finding the Fourth Proportional to 597.56, 894.77 and 561.05

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Solution

The fourth proportional to 597.56, 894.77 and 561.05 is: 840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.56 : 894.77 = 561.05 : x
  2. Step 2: Convert to fraction form
    597.56/894.77 = 561.05/x
  3. Step 3: Cross multiply
    597.56x = 894.77 × 561.05
  4. Step 4: Simplify right side
    597.56x = 502,007.90
  5. Step 5: Solve for x
    x = 502,007.90/597.56
  6. Step 6: Final answer
    x = 840.10

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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.