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Finding the Fourth Proportional to 1,052.23, 1,577.19 and 435.60

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Solution

The fourth proportional to 1,052.23, 1,577.19 and 435.60 is: 652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.23 : 1,577.19 = 435.60 : x
  2. Step 2: Convert to fraction form
    1,052.23/1,577.19 = 435.60/x
  3. Step 3: Cross multiply
    1,052.23x = 1,577.19 × 435.60
  4. Step 4: Simplify right side
    1,052.23x = 687,021.79
  5. Step 5: Solve for x
    x = 687,021.79/1,052.23
  6. Step 6: Final answer
    x = 652.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.