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Finding the Fourth Proportional to 1,296.08, 1,943.16 and 430.16

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Solution

The fourth proportional to 1,296.08, 1,943.16 and 430.16 is: 644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.08 : 1,943.16 = 430.16 : x
  2. Step 2: Convert to fraction form
    1,296.08/1,943.16 = 430.16/x
  3. Step 3: Cross multiply
    1,296.08x = 1,943.16 × 430.16
  4. Step 4: Simplify right side
    1,296.08x = 835,869.71
  5. Step 5: Solve for x
    x = 835,869.71/1,296.08
  6. Step 6: Final answer
    x = 644.92

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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.