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Finding the Fourth Proportional to 1,300.96, 1,950.72 and 435.04

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Solution

The fourth proportional to 1,300.96, 1,950.72 and 435.04 is: 652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.96 : 1,950.72 = 435.04 : x
  2. Step 2: Convert to fraction form
    1,300.96/1,950.72 = 435.04/x
  3. Step 3: Cross multiply
    1,300.96x = 1,950.72 × 435.04
  4. Step 4: Simplify right side
    1,300.96x = 848,641.23
  5. Step 5: Solve for x
    x = 848,641.23/1,300.96
  6. Step 6: Final answer
    x = 652.32

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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.