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Finding the Fourth Proportional to 1,314.60, 1,970.30 and 583.40

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Solution

The fourth proportional to 1,314.60, 1,970.30 and 583.40 is: 874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.60 : 1,970.30 = 583.40 : x
  2. Step 2: Convert to fraction form
    1,314.60/1,970.30 = 583.40/x
  3. Step 3: Cross multiply
    1,314.60x = 1,970.30 × 583.40
  4. Step 4: Simplify right side
    1,314.60x = 1,149,473.02
  5. Step 5: Solve for x
    x = 1,149,473.02/1,314.60
  6. Step 6: Final answer
    x = 874.39

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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.