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Finding the Fourth Proportional to 1,061.67, 1,590.44 and 695.35

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Solution

The fourth proportional to 1,061.67, 1,590.44 and 695.35 is: 1,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.67 : 1,590.44 = 695.35 : x
  2. Step 2: Convert to fraction form
    1,061.67/1,590.44 = 695.35/x
  3. Step 3: Cross multiply
    1,061.67x = 1,590.44 × 695.35
  4. Step 4: Simplify right side
    1,061.67x = 1,105,910.72
  5. Step 5: Solve for x
    x = 1,105,910.72/1,061.67
  6. Step 6: Final answer
    x = 1,041.67

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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.