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Finding the Fourth Proportional to 1,315.49, 1,971.81 and 584.06

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Solution

The fourth proportional to 1,315.49, 1,971.81 and 584.06 is: 875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.49 : 1,971.81 = 584.06 : x
  2. Step 2: Convert to fraction form
    1,315.49/1,971.81 = 584.06/x
  3. Step 3: Cross multiply
    1,315.49x = 1,971.81 × 584.06
  4. Step 4: Simplify right side
    1,315.49x = 1,151,645.49
  5. Step 5: Solve for x
    x = 1,151,645.49/1,315.49
  6. Step 6: Final answer
    x = 875.45

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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.