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Finding the Fourth Proportional to 726.48, 1,090.53 and 467.10

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Solution

The fourth proportional to 726.48, 1,090.53 and 467.10 is: 701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.48 : 1,090.53 = 467.10 : x
  2. Step 2: Convert to fraction form
    726.48/1,090.53 = 467.10/x
  3. Step 3: Cross multiply
    726.48x = 1,090.53 × 467.10
  4. Step 4: Simplify right side
    726.48x = 509,386.56
  5. Step 5: Solve for x
    x = 509,386.56/726.48
  6. Step 6: Final answer
    x = 701.17

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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.