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Finding the Fourth Proportional to 1,035.99, 1,431.54 and 740.75

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Solution

The fourth proportional to 1,035.99, 1,431.54 and 740.75 is: 1,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.99 : 1,431.54 = 740.75 : x
  2. Step 2: Convert to fraction form
    1,035.99/1,431.54 = 740.75/x
  3. Step 3: Cross multiply
    1,035.99x = 1,431.54 × 740.75
  4. Step 4: Simplify right side
    1,035.99x = 1,060,406.10
  5. Step 5: Solve for x
    x = 1,060,406.10/1,035.99
  6. Step 6: Final answer
    x = 1,023.57

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Why These Related Problems?

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