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Finding the Fourth Proportional to 1,051.97, 1,577.06 and 435.29

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Solution

The fourth proportional to 1,051.97, 1,577.06 and 435.29 is: 652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.97 : 1,577.06 = 435.29 : x
  2. Step 2: Convert to fraction form
    1,051.97/1,577.06 = 435.29/x
  3. Step 3: Cross multiply
    1,051.97x = 1,577.06 × 435.29
  4. Step 4: Simplify right side
    1,051.97x = 686,468.39
  5. Step 5: Solve for x
    x = 686,468.39/1,051.97
  6. Step 6: Final answer
    x = 652.56

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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.