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Finding the Fourth Proportional to 1,313.52, 1,812.56 and 724.06

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Solution

The fourth proportional to 1,313.52, 1,812.56 and 724.06 is: 999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.52 : 1,812.56 = 724.06 : x
  2. Step 2: Convert to fraction form
    1,313.52/1,812.56 = 724.06/x
  3. Step 3: Cross multiply
    1,313.52x = 1,812.56 × 724.06
  4. Step 4: Simplify right side
    1,313.52x = 1,312,389.51
  5. Step 5: Solve for x
    x = 1,312,389.51/1,313.52
  6. Step 6: Final answer
    x = 999.14

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Why These Related Problems?

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