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Finding the Fourth Proportional to 975.23, 1,461.86 and 897.38

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Solution

The fourth proportional to 975.23, 1,461.86 and 897.38 is: 1,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.23 : 1,461.86 = 897.38 : x
  2. Step 2: Convert to fraction form
    975.23/1,461.86 = 897.38/x
  3. Step 3: Cross multiply
    975.23x = 1,461.86 × 897.38
  4. Step 4: Simplify right side
    975.23x = 1,311,843.93
  5. Step 5: Solve for x
    x = 1,311,843.93/975.23
  6. Step 6: Final answer
    x = 1,345.16

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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.