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Finding the Fourth Proportional to 1,430.31, 1,973.82 and 800.84

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Solution

The fourth proportional to 1,430.31, 1,973.82 and 800.84 is: 1,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.31 : 1,973.82 = 800.84 : x
  2. Step 2: Convert to fraction form
    1,430.31/1,973.82 = 800.84/x
  3. Step 3: Cross multiply
    1,430.31x = 1,973.82 × 800.84
  4. Step 4: Simplify right side
    1,430.31x = 1,580,721.95
  5. Step 5: Solve for x
    x = 1,580,721.95/1,430.31
  6. Step 6: Final answer
    x = 1,105.16

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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.