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Finding the Fourth Proportional to 1,314.02, 1,812.78 and 921.58

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Solution

The fourth proportional to 1,314.02, 1,812.78 and 921.58 is: 1,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.02 : 1,812.78 = 921.58 : x
  2. Step 2: Convert to fraction form
    1,314.02/1,812.78 = 921.58/x
  3. Step 3: Cross multiply
    1,314.02x = 1,812.78 × 921.58
  4. Step 4: Simplify right side
    1,314.02x = 1,670,617.26
  5. Step 5: Solve for x
    x = 1,670,617.26/1,314.02
  6. Step 6: Final answer
    x = 1,271.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.