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Finding the Fourth Proportional to 1,316.34, 1,814.03 and 942.66

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Solution

The fourth proportional to 1,316.34, 1,814.03 and 942.66 is: 1,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.34 : 1,814.03 = 942.66 : x
  2. Step 2: Convert to fraction form
    1,316.34/1,814.03 = 942.66/x
  3. Step 3: Cross multiply
    1,316.34x = 1,814.03 × 942.66
  4. Step 4: Simplify right side
    1,316.34x = 1,710,008.81
  5. Step 5: Solve for x
    x = 1,710,008.81/1,316.34
  6. Step 6: Final answer
    x = 1,299.06

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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.