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Finding the Fourth Proportional to 1,430.04, 2,144.88 and 564.96

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Solution

The fourth proportional to 1,430.04, 2,144.88 and 564.96 is: 847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.04 : 2,144.88 = 564.96 : x
  2. Step 2: Convert to fraction form
    1,430.04/2,144.88 = 564.96/x
  3. Step 3: Cross multiply
    1,430.04x = 2,144.88 × 564.96
  4. Step 4: Simplify right side
    1,430.04x = 1,211,771.40
  5. Step 5: Solve for x
    x = 1,211,771.40/1,430.04
  6. Step 6: Final answer
    x = 847.37

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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.