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Finding the Fourth Proportional to 1,430.73, 1,973.34 and 959.16

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Solution

The fourth proportional to 1,430.73, 1,973.34 and 959.16 is: 1,322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.73 : 1,973.34 = 959.16 : x
  2. Step 2: Convert to fraction form
    1,430.73/1,973.34 = 959.16/x
  3. Step 3: Cross multiply
    1,430.73x = 1,973.34 × 959.16
  4. Step 4: Simplify right side
    1,430.73x = 1,892,744.00
  5. Step 5: Solve for x
    x = 1,892,744.00/1,430.73
  6. Step 6: Final answer
    x = 1,322.92

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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.