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Finding the Fourth Proportional to 1,252.12, 1,878.46 and 430.40

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Solution

The fourth proportional to 1,252.12, 1,878.46 and 430.40 is: 645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.12 : 1,878.46 = 430.40 : x
  2. Step 2: Convert to fraction form
    1,252.12/1,878.46 = 430.40/x
  3. Step 3: Cross multiply
    1,252.12x = 1,878.46 × 430.40
  4. Step 4: Simplify right side
    1,252.12x = 808,489.18
  5. Step 5: Solve for x
    x = 808,489.18/1,252.12
  6. Step 6: Final answer
    x = 645.70

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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.