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Finding the Fourth Proportional to 1,314.96, 1,972.13 and 534.75

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Solution

The fourth proportional to 1,314.96, 1,972.13 and 534.75 is: 802.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.96 : 1,972.13 = 534.75 : x
  2. Step 2: Convert to fraction form
    1,314.96/1,972.13 = 534.75/x
  3. Step 3: Cross multiply
    1,314.96x = 1,972.13 × 534.75
  4. Step 4: Simplify right side
    1,314.96x = 1,054,593.84
  5. Step 5: Solve for x
    x = 1,054,593.84/1,314.96
  6. Step 6: Final answer
    x = 802.00

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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.