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Finding the Fourth Proportional to 1,403.66, 1,937.04 and 814.26

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Solution

The fourth proportional to 1,403.66, 1,937.04 and 814.26 is: 1,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.66 : 1,937.04 = 814.26 : x
  2. Step 2: Convert to fraction form
    1,403.66/1,937.04 = 814.26/x
  3. Step 3: Cross multiply
    1,403.66x = 1,937.04 × 814.26
  4. Step 4: Simplify right side
    1,403.66x = 1,577,254.19
  5. Step 5: Solve for x
    x = 1,577,254.19/1,403.66
  6. Step 6: Final answer
    x = 1,123.67

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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.