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Finding the Fourth Proportional to 726.10, 1,084.54 and 623.77

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Solution

The fourth proportional to 726.10, 1,084.54 and 623.77 is: 931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.10 : 1,084.54 = 623.77 : x
  2. Step 2: Convert to fraction form
    726.10/1,084.54 = 623.77/x
  3. Step 3: Cross multiply
    726.10x = 1,084.54 × 623.77
  4. Step 4: Simplify right side
    726.10x = 676,503.52
  5. Step 5: Solve for x
    x = 676,503.52/726.10
  6. Step 6: Final answer
    x = 931.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.