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Finding the Fourth Proportional to 1,285.70, 1,927.53 and 463.55

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Solution

The fourth proportional to 1,285.70, 1,927.53 and 463.55 is: 694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.70 : 1,927.53 = 463.55 : x
  2. Step 2: Convert to fraction form
    1,285.70/1,927.53 = 463.55/x
  3. Step 3: Cross multiply
    1,285.70x = 1,927.53 × 463.55
  4. Step 4: Simplify right side
    1,285.70x = 893,496.89
  5. Step 5: Solve for x
    x = 893,496.89/1,285.70
  6. Step 6: Final answer
    x = 694.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.