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Finding the Fourth Proportional to 1,050.15, 1,448.25 and 718.02

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Solution

The fourth proportional to 1,050.15, 1,448.25 and 718.02 is: 990.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.15 : 1,448.25 = 718.02 : x
  2. Step 2: Convert to fraction form
    1,050.15/1,448.25 = 718.02/x
  3. Step 3: Cross multiply
    1,050.15x = 1,448.25 × 718.02
  4. Step 4: Simplify right side
    1,050.15x = 1,039,872.47
  5. Step 5: Solve for x
    x = 1,039,872.47/1,050.15
  6. Step 6: Final answer
    x = 990.21

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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.