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Finding the Fourth Proportional to 1,488.04, 2,232.24 and 718

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Solution

The fourth proportional to 1,488.04, 2,232.24 and 718 is: 1,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.04 : 2,232.24 = 718 : x
  2. Step 2: Convert to fraction form
    1,488.04/2,232.24 = 718/x
  3. Step 3: Cross multiply
    1,488.04x = 2,232.24 × 718
  4. Step 4: Simplify right side
    1,488.04x = 1,602,748.32
  5. Step 5: Solve for x
    x = 1,602,748.32/1,488.04
  6. Step 6: Final answer
    x = 1,077.09

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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.