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Finding the Fourth Proportional to 1,035.19, 1,430.02 and 941.77

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Solution

The fourth proportional to 1,035.19, 1,430.02 and 941.77 is: 1,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.19 : 1,430.02 = 941.77 : x
  2. Step 2: Convert to fraction form
    1,035.19/1,430.02 = 941.77/x
  3. Step 3: Cross multiply
    1,035.19x = 1,430.02 × 941.77
  4. Step 4: Simplify right side
    1,035.19x = 1,346,749.94
  5. Step 5: Solve for x
    x = 1,346,749.94/1,035.19
  6. Step 6: Final answer
    x = 1,300.97

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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.