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Finding the Fourth Proportional to 1,365.90, 2,046.08 and 715.26

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Solution

The fourth proportional to 1,365.90, 2,046.08 and 715.26 is: 1,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.90 : 2,046.08 = 715.26 : x
  2. Step 2: Convert to fraction form
    1,365.90/2,046.08 = 715.26/x
  3. Step 3: Cross multiply
    1,365.90x = 2,046.08 × 715.26
  4. Step 4: Simplify right side
    1,365.90x = 1,463,479.18
  5. Step 5: Solve for x
    x = 1,463,479.18/1,365.90
  6. Step 6: Final answer
    x = 1,071.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.