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Finding the Fourth Proportional to 1,052.34, 1,577.22 and 435.66

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Solution

The fourth proportional to 1,052.34, 1,577.22 and 435.66 is: 652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.34 : 1,577.22 = 435.66 : x
  2. Step 2: Convert to fraction form
    1,052.34/1,577.22 = 435.66/x
  3. Step 3: Cross multiply
    1,052.34x = 1,577.22 × 435.66
  4. Step 4: Simplify right side
    1,052.34x = 687,131.67
  5. Step 5: Solve for x
    x = 687,131.67/1,052.34
  6. Step 6: Final answer
    x = 652.96

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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.