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Finding the Fourth Proportional to 673.58, 924.41 and 656.16

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Solution

The fourth proportional to 673.58, 924.41 and 656.16 is: 900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.58 : 924.41 = 656.16 : x
  2. Step 2: Convert to fraction form
    673.58/924.41 = 656.16/x
  3. Step 3: Cross multiply
    673.58x = 924.41 × 656.16
  4. Step 4: Simplify right side
    673.58x = 606,555.54
  5. Step 5: Solve for x
    x = 606,555.54/673.58
  6. Step 6: Final answer
    x = 900.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.