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Finding the Fourth Proportional to 975.02, 1,458.72 and 968.00

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Solution

The fourth proportional to 975.02, 1,458.72 and 968.00 is: 1,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.02 : 1,458.72 = 968.00 : x
  2. Step 2: Convert to fraction form
    975.02/1,458.72 = 968.00/x
  3. Step 3: Cross multiply
    975.02x = 1,458.72 × 968.00
  4. Step 4: Simplify right side
    975.02x = 1,412,033.67
  5. Step 5: Solve for x
    x = 1,412,033.67/975.02
  6. Step 6: Final answer
    x = 1,448.22

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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.