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Finding the Fourth Proportional to 856.30, 1,285.51 and 562.89

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Solution

The fourth proportional to 856.30, 1,285.51 and 562.89 is: 845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.30 : 1,285.51 = 562.89 : x
  2. Step 2: Convert to fraction form
    856.30/1,285.51 = 562.89/x
  3. Step 3: Cross multiply
    856.30x = 1,285.51 × 562.89
  4. Step 4: Simplify right side
    856.30x = 723,595.70
  5. Step 5: Solve for x
    x = 723,595.70/856.30
  6. Step 6: Final answer
    x = 845.02

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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.