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Finding the Fourth Proportional to 553.86, 830.76 and 524.70

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Solution

The fourth proportional to 553.86, 830.76 and 524.70 is: 787.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.86 : 830.76 = 524.70 : x
  2. Step 2: Convert to fraction form
    553.86/830.76 = 524.70/x
  3. Step 3: Cross multiply
    553.86x = 830.76 × 524.70
  4. Step 4: Simplify right side
    553.86x = 435,899.77
  5. Step 5: Solve for x
    x = 435,899.77/553.86
  6. Step 6: Final answer
    x = 787.02

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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.