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Finding the Fourth Proportional to 1,117.65, 1,541.91 and 719.24

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Solution

The fourth proportional to 1,117.65, 1,541.91 and 719.24 is: 992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.65 : 1,541.91 = 719.24 : x
  2. Step 2: Convert to fraction form
    1,117.65/1,541.91 = 719.24/x
  3. Step 3: Cross multiply
    1,117.65x = 1,541.91 × 719.24
  4. Step 4: Simplify right side
    1,117.65x = 1,109,003.35
  5. Step 5: Solve for x
    x = 1,109,003.35/1,117.65
  6. Step 6: Final answer
    x = 992.26

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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.