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Finding the Fourth Proportional to 912.39, 1,259.53 and 618.14

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Solution

The fourth proportional to 912.39, 1,259.53 and 618.14 is: 853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.39 : 1,259.53 = 618.14 : x
  2. Step 2: Convert to fraction form
    912.39/1,259.53 = 618.14/x
  3. Step 3: Cross multiply
    912.39x = 1,259.53 × 618.14
  4. Step 4: Simplify right side
    912.39x = 778,559.58
  5. Step 5: Solve for x
    x = 778,559.58/912.39
  6. Step 6: Final answer
    x = 853.32

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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.