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Finding the Fourth Proportional to 1,368.48, 1,887.72 and 870.12

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Solution

The fourth proportional to 1,368.48, 1,887.72 and 870.12 is: 1,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.48 : 1,887.72 = 870.12 : x
  2. Step 2: Convert to fraction form
    1,368.48/1,887.72 = 870.12/x
  3. Step 3: Cross multiply
    1,368.48x = 1,887.72 × 870.12
  4. Step 4: Simplify right side
    1,368.48x = 1,642,542.93
  5. Step 5: Solve for x
    x = 1,642,542.93/1,368.48
  6. Step 6: Final answer
    x = 1,200.27

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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.