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Finding the Fourth Proportional to 1,386.42, 2,079.08 and 616.38

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Solution

The fourth proportional to 1,386.42, 2,079.08 and 616.38 is: 924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.42 : 2,079.08 = 616.38 : x
  2. Step 2: Convert to fraction form
    1,386.42/2,079.08 = 616.38/x
  3. Step 3: Cross multiply
    1,386.42x = 2,079.08 × 616.38
  4. Step 4: Simplify right side
    1,386.42x = 1,281,503.33
  5. Step 5: Solve for x
    x = 1,281,503.33/1,386.42
  6. Step 6: Final answer
    x = 924.33

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