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Finding the Fourth Proportional to 1,117.27, 1,541.71 and 645.07

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Solution

The fourth proportional to 1,117.27, 1,541.71 and 645.07 is: 890.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.27 : 1,541.71 = 645.07 : x
  2. Step 2: Convert to fraction form
    1,117.27/1,541.71 = 645.07/x
  3. Step 3: Cross multiply
    1,117.27x = 1,541.71 × 645.07
  4. Step 4: Simplify right side
    1,117.27x = 994,510.87
  5. Step 5: Solve for x
    x = 994,510.87/1,117.27
  6. Step 6: Final answer
    x = 890.13

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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.