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Finding the Fourth Proportional to 1,430.86, 1,974.53 and 801.35

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Solution

The fourth proportional to 1,430.86, 1,974.53 and 801.35 is: 1,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.86 : 1,974.53 = 801.35 : x
  2. Step 2: Convert to fraction form
    1,430.86/1,974.53 = 801.35/x
  3. Step 3: Cross multiply
    1,430.86x = 1,974.53 × 801.35
  4. Step 4: Simplify right side
    1,430.86x = 1,582,294.10
  5. Step 5: Solve for x
    x = 1,582,294.10/1,430.86
  6. Step 6: Final answer
    x = 1,105.84

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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.