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Finding the Fourth Proportional to 1,196.08, 1,649.16 and 1,030.01

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Solution

The fourth proportional to 1,196.08, 1,649.16 and 1,030.01 is: 1,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.08 : 1,649.16 = 1,030.01 : x
  2. Step 2: Convert to fraction form
    1,196.08/1,649.16 = 1,030.01/x
  3. Step 3: Cross multiply
    1,196.08x = 1,649.16 × 1,030.01
  4. Step 4: Simplify right side
    1,196.08x = 1,698,643.05
  5. Step 5: Solve for x
    x = 1,698,643.05/1,196.08
  6. Step 6: Final answer
    x = 1,420.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.