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Finding the Fourth Proportional to 1,061.40, 1,590.88 and 670.44

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Solution

The fourth proportional to 1,061.40, 1,590.88 and 670.44 is: 1,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.40 : 1,590.88 = 670.44 : x
  2. Step 2: Convert to fraction form
    1,061.40/1,590.88 = 670.44/x
  3. Step 3: Cross multiply
    1,061.40x = 1,590.88 × 670.44
  4. Step 4: Simplify right side
    1,061.40x = 1,066,589.59
  5. Step 5: Solve for x
    x = 1,066,589.59/1,061.40
  6. Step 6: Final answer
    x = 1,004.89

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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.