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Finding the Fourth Proportional to 1,488.13, 2,053.54 and 858.62

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Solution

The fourth proportional to 1,488.13, 2,053.54 and 858.62 is: 1,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.13 : 2,053.54 = 858.62 : x
  2. Step 2: Convert to fraction form
    1,488.13/2,053.54 = 858.62/x
  3. Step 3: Cross multiply
    1,488.13x = 2,053.54 × 858.62
  4. Step 4: Simplify right side
    1,488.13x = 1,763,216.72
  5. Step 5: Solve for x
    x = 1,763,216.72/1,488.13
  6. Step 6: Final answer
    x = 1,184.85

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Why These Related Problems?

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