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Finding the Fourth Proportional to 623.48, 860.54 and 561.20

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Solution

The fourth proportional to 623.48, 860.54 and 561.20 is: 774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.48 : 860.54 = 561.20 : x
  2. Step 2: Convert to fraction form
    623.48/860.54 = 561.20/x
  3. Step 3: Cross multiply
    623.48x = 860.54 × 561.20
  4. Step 4: Simplify right side
    623.48x = 482,927.94
  5. Step 5: Solve for x
    x = 482,927.94/623.48
  6. Step 6: Final answer
    x = 774.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.