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Finding the Fourth Proportional to 673.30, 924.77 and 657.10

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Solution

The fourth proportional to 673.30, 924.77 and 657.10 is: 902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.30 : 924.77 = 657.10 : x
  2. Step 2: Convert to fraction form
    673.30/924.77 = 657.10/x
  3. Step 3: Cross multiply
    673.30x = 924.77 × 657.10
  4. Step 4: Simplify right side
    673.30x = 607,666.37
  5. Step 5: Solve for x
    x = 607,666.37/673.30
  6. Step 6: Final answer
    x = 902.52

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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.