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Finding the Fourth Proportional to 935.57, 1,401.75 and 524.45

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Solution

The fourth proportional to 935.57, 1,401.75 and 524.45 is: 785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.57 : 1,401.75 = 524.45 : x
  2. Step 2: Convert to fraction form
    935.57/1,401.75 = 524.45/x
  3. Step 3: Cross multiply
    935.57x = 1,401.75 × 524.45
  4. Step 4: Simplify right side
    935.57x = 735,140.78
  5. Step 5: Solve for x
    x = 735,140.78/935.57
  6. Step 6: Final answer
    x = 785.77

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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.