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Finding the Fourth Proportional to 1,301.16, 1,952.09 and 376.80

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Solution

The fourth proportional to 1,301.16, 1,952.09 and 376.80 is: 565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.16 : 1,952.09 = 376.80 : x
  2. Step 2: Convert to fraction form
    1,301.16/1,952.09 = 376.80/x
  3. Step 3: Cross multiply
    1,301.16x = 1,952.09 × 376.80
  4. Step 4: Simplify right side
    1,301.16x = 735,547.51
  5. Step 5: Solve for x
    x = 735,547.51/1,301.16
  6. Step 6: Final answer
    x = 565.30

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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.