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Finding the Fourth Proportional to 697.85, 1,045.65 and 368.77

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Solution

The fourth proportional to 697.85, 1,045.65 and 368.77 is: 552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.85 : 1,045.65 = 368.77 : x
  2. Step 2: Convert to fraction form
    697.85/1,045.65 = 368.77/x
  3. Step 3: Cross multiply
    697.85x = 1,045.65 × 368.77
  4. Step 4: Simplify right side
    697.85x = 385,604.35
  5. Step 5: Solve for x
    x = 385,604.35/697.85
  6. Step 6: Final answer
    x = 552.56

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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.