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Finding the Fourth Proportional to 1,070.18, 1,606.19 and 421.37

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Solution

The fourth proportional to 1,070.18, 1,606.19 and 421.37 is: 632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.18 : 1,606.19 = 421.37 : x
  2. Step 2: Convert to fraction form
    1,070.18/1,606.19 = 421.37/x
  3. Step 3: Cross multiply
    1,070.18x = 1,606.19 × 421.37
  4. Step 4: Simplify right side
    1,070.18x = 676,800.28
  5. Step 5: Solve for x
    x = 676,800.28/1,070.18
  6. Step 6: Final answer
    x = 632.42

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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.