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Finding the Fourth Proportional to 1,430.15, 1,973.51 and 800.57

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Solution

The fourth proportional to 1,430.15, 1,973.51 and 800.57 is: 1,104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.15 : 1,973.51 = 800.57 : x
  2. Step 2: Convert to fraction form
    1,430.15/1,973.51 = 800.57/x
  3. Step 3: Cross multiply
    1,430.15x = 1,973.51 × 800.57
  4. Step 4: Simplify right side
    1,430.15x = 1,579,919.03
  5. Step 5: Solve for x
    x = 1,579,919.03/1,430.15
  6. Step 6: Final answer
    x = 1,104.73

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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.