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Finding the Fourth Proportional to 974.10, 1,467.21 and 888.06

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Solution

The fourth proportional to 974.10, 1,467.21 and 888.06 is: 1,337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.10 : 1,467.21 = 888.06 : x
  2. Step 2: Convert to fraction form
    974.10/1,467.21 = 888.06/x
  3. Step 3: Cross multiply
    974.10x = 1,467.21 × 888.06
  4. Step 4: Simplify right side
    974.10x = 1,302,970.51
  5. Step 5: Solve for x
    x = 1,302,970.51/974.10
  6. Step 6: Final answer
    x = 1,337.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.