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Finding the Fourth Proportional to 1,430.93, 1,974.65 and 801.48

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Solution

The fourth proportional to 1,430.93, 1,974.65 and 801.48 is: 1,106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.93 : 1,974.65 = 801.48 : x
  2. Step 2: Convert to fraction form
    1,430.93/1,974.65 = 801.48/x
  3. Step 3: Cross multiply
    1,430.93x = 1,974.65 × 801.48
  4. Step 4: Simplify right side
    1,430.93x = 1,582,644.49
  5. Step 5: Solve for x
    x = 1,582,644.49/1,430.93
  6. Step 6: Final answer
    x = 1,106.02

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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.