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Finding the Fourth Proportional to 1,488.23, 2,053.80 and 898.65

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Solution

The fourth proportional to 1,488.23, 2,053.80 and 898.65 is: 1,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.23 : 2,053.80 = 898.65 : x
  2. Step 2: Convert to fraction form
    1,488.23/2,053.80 = 898.65/x
  3. Step 3: Cross multiply
    1,488.23x = 2,053.80 × 898.65
  4. Step 4: Simplify right side
    1,488.23x = 1,845,647.37
  5. Step 5: Solve for x
    x = 1,845,647.37/1,488.23
  6. Step 6: Final answer
    x = 1,240.17

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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.