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Finding the Fourth Proportional to 1,070.38, 1,606.24 and 421.10

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Solution

The fourth proportional to 1,070.38, 1,606.24 and 421.10 is: 631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.38 : 1,606.24 = 421.10 : x
  2. Step 2: Convert to fraction form
    1,070.38/1,606.24 = 421.10/x
  3. Step 3: Cross multiply
    1,070.38x = 1,606.24 × 421.10
  4. Step 4: Simplify right side
    1,070.38x = 676,379.63
  5. Step 5: Solve for x
    x = 676,379.63/1,070.38
  6. Step 6: Final answer
    x = 631.91

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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.