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Finding the Fourth Proportional to 1,430.26, 1,973.74 and 800.79

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Solution

The fourth proportional to 1,430.26, 1,973.74 and 800.79 is: 1,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.26 : 1,973.74 = 800.79 : x
  2. Step 2: Convert to fraction form
    1,430.26/1,973.74 = 800.79/x
  3. Step 3: Cross multiply
    1,430.26x = 1,973.74 × 800.79
  4. Step 4: Simplify right side
    1,430.26x = 1,580,551.25
  5. Step 5: Solve for x
    x = 1,580,551.25/1,430.26
  6. Step 6: Final answer
    x = 1,105.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.