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Finding the Fourth Proportional to 677.90, 1,010.92 and 603.23

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Solution

The fourth proportional to 677.90, 1,010.92 and 603.23 is: 899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.90 : 1,010.92 = 603.23 : x
  2. Step 2: Convert to fraction form
    677.90/1,010.92 = 603.23/x
  3. Step 3: Cross multiply
    677.90x = 1,010.92 × 603.23
  4. Step 4: Simplify right side
    677.90x = 609,820.55
  5. Step 5: Solve for x
    x = 609,820.55/677.90
  6. Step 6: Final answer
    x = 899.58

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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.