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Finding the Fourth Proportional to 975.74, 1,455.08 and 910.13

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Solution

The fourth proportional to 975.74, 1,455.08 and 910.13 is: 1,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.74 : 1,455.08 = 910.13 : x
  2. Step 2: Convert to fraction form
    975.74/1,455.08 = 910.13/x
  3. Step 3: Cross multiply
    975.74x = 1,455.08 × 910.13
  4. Step 4: Simplify right side
    975.74x = 1,324,300.13
  5. Step 5: Solve for x
    x = 1,324,300.13/975.74
  6. Step 6: Final answer
    x = 1,357.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.