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Finding the Fourth Proportional to 1,386.51, 1,913.34 and 757.02

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Solution

The fourth proportional to 1,386.51, 1,913.34 and 757.02 is: 1,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.51 : 1,913.34 = 757.02 : x
  2. Step 2: Convert to fraction form
    1,386.51/1,913.34 = 757.02/x
  3. Step 3: Cross multiply
    1,386.51x = 1,913.34 × 757.02
  4. Step 4: Simplify right side
    1,386.51x = 1,448,436.65
  5. Step 5: Solve for x
    x = 1,448,436.65/1,386.51
  6. Step 6: Final answer
    x = 1,044.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.