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Finding the Fourth Proportional to 1,312.40, 1,968.18 and 434.74

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Solution

The fourth proportional to 1,312.40, 1,968.18 and 434.74 is: 651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.40 : 1,968.18 = 434.74 : x
  2. Step 2: Convert to fraction form
    1,312.40/1,968.18 = 434.74/x
  3. Step 3: Cross multiply
    1,312.40x = 1,968.18 × 434.74
  4. Step 4: Simplify right side
    1,312.40x = 855,646.57
  5. Step 5: Solve for x
    x = 855,646.57/1,312.40
  6. Step 6: Final answer
    x = 651.97

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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.