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Finding the Fourth Proportional to 1,314.87, 1,972.55 and 437.50

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Solution

The fourth proportional to 1,314.87, 1,972.55 and 437.50 is: 656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.87 : 1,972.55 = 437.50 : x
  2. Step 2: Convert to fraction form
    1,314.87/1,972.55 = 437.50/x
  3. Step 3: Cross multiply
    1,314.87x = 1,972.55 × 437.50
  4. Step 4: Simplify right side
    1,314.87x = 862,994.18
  5. Step 5: Solve for x
    x = 862,994.18/1,314.87
  6. Step 6: Final answer
    x = 656.34

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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.