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Finding the Fourth Proportional to 1,316.13, 1,973.94 and 494.19

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Solution

The fourth proportional to 1,316.13, 1,973.94 and 494.19 is: 741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.13 : 1,973.94 = 494.19 : x
  2. Step 2: Convert to fraction form
    1,316.13/1,973.94 = 494.19/x
  3. Step 3: Cross multiply
    1,316.13x = 1,973.94 × 494.19
  4. Step 4: Simplify right side
    1,316.13x = 975,501.41
  5. Step 5: Solve for x
    x = 975,501.41/1,316.13
  6. Step 6: Final answer
    x = 741.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.