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Finding the Fourth Proportional to 1,314.73, 1,971.67 and 534.93

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Solution

The fourth proportional to 1,314.73, 1,971.67 and 534.93 is: 802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.73 : 1,971.67 = 534.93 : x
  2. Step 2: Convert to fraction form
    1,314.73/1,971.67 = 534.93/x
  3. Step 3: Cross multiply
    1,314.73x = 1,971.67 × 534.93
  4. Step 4: Simplify right side
    1,314.73x = 1,054,705.43
  5. Step 5: Solve for x
    x = 1,054,705.43/1,314.73
  6. Step 6: Final answer
    x = 802.22

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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.