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Finding the Fourth Proportional to 1,430.73, 1,973.97 and 933.19

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Solution

The fourth proportional to 1,430.73, 1,973.97 and 933.19 is: 1,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.73 : 1,973.97 = 933.19 : x
  2. Step 2: Convert to fraction form
    1,430.73/1,973.97 = 933.19/x
  3. Step 3: Cross multiply
    1,430.73x = 1,973.97 × 933.19
  4. Step 4: Simplify right side
    1,430.73x = 1,842,084.13
  5. Step 5: Solve for x
    x = 1,842,084.13/1,430.73
  6. Step 6: Final answer
    x = 1,287.51

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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.