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Finding the Fourth Proportional to 1,488.04, 2,053.41 and 858.58

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Solution

The fourth proportional to 1,488.04, 2,053.41 and 858.58 is: 1,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.04 : 2,053.41 = 858.58 : x
  2. Step 2: Convert to fraction form
    1,488.04/2,053.41 = 858.58/x
  3. Step 3: Cross multiply
    1,488.04x = 2,053.41 × 858.58
  4. Step 4: Simplify right side
    1,488.04x = 1,763,016.76
  5. Step 5: Solve for x
    x = 1,763,016.76/1,488.04
  6. Step 6: Final answer
    x = 1,184.79

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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.