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Finding the Fourth Proportional to 1,314.93, 1,973.06 and 729.95

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Solution

The fourth proportional to 1,314.93, 1,973.06 and 729.95 is: 1,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.93 : 1,973.06 = 729.95 : x
  2. Step 2: Convert to fraction form
    1,314.93/1,973.06 = 729.95/x
  3. Step 3: Cross multiply
    1,314.93x = 1,973.06 × 729.95
  4. Step 4: Simplify right side
    1,314.93x = 1,440,224.37
  5. Step 5: Solve for x
    x = 1,440,224.37/1,314.93
  6. Step 6: Final answer
    x = 1,095.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.