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Finding the Fourth Proportional to 1,070.88, 1,606.99 and 421.53

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Solution

The fourth proportional to 1,070.88, 1,606.99 and 421.53 is: 632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.88 : 1,606.99 = 421.53 : x
  2. Step 2: Convert to fraction form
    1,070.88/1,606.99 = 421.53/x
  3. Step 3: Cross multiply
    1,070.88x = 1,606.99 × 421.53
  4. Step 4: Simplify right side
    1,070.88x = 677,394.49
  5. Step 5: Solve for x
    x = 677,394.49/1,070.88
  6. Step 6: Final answer
    x = 632.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.