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Finding the Fourth Proportional to 1,314.93, 1,970.30 and 1,053.57

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Solution

The fourth proportional to 1,314.93, 1,970.30 and 1,053.57 is: 1,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.93 : 1,970.30 = 1,053.57 : x
  2. Step 2: Convert to fraction form
    1,314.93/1,970.30 = 1,053.57/x
  3. Step 3: Cross multiply
    1,314.93x = 1,970.30 × 1,053.57
  4. Step 4: Simplify right side
    1,314.93x = 2,075,848.97
  5. Step 5: Solve for x
    x = 2,075,848.97/1,314.93
  6. Step 6: Final answer
    x = 1,578.68

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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.