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Finding the Fourth Proportional to 1,070.63, 1,606.61 and 421.40

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Solution

The fourth proportional to 1,070.63, 1,606.61 and 421.40 is: 632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.63 : 1,606.61 = 421.40 : x
  2. Step 2: Convert to fraction form
    1,070.63/1,606.61 = 421.40/x
  3. Step 3: Cross multiply
    1,070.63x = 1,606.61 × 421.40
  4. Step 4: Simplify right side
    1,070.63x = 677,018.47
  5. Step 5: Solve for x
    x = 677,018.47/1,070.63
  6. Step 6: Final answer
    x = 632.36

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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.