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Finding the Fourth Proportional to 1,253.36, 1,888.49 and 1,038.75

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Solution

The fourth proportional to 1,253.36, 1,888.49 and 1,038.75 is: 1,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.36 : 1,888.49 = 1,038.75 : x
  2. Step 2: Convert to fraction form
    1,253.36/1,888.49 = 1,038.75/x
  3. Step 3: Cross multiply
    1,253.36x = 1,888.49 × 1,038.75
  4. Step 4: Simplify right side
    1,253.36x = 1,961,663.79
  5. Step 5: Solve for x
    x = 1,961,663.79/1,253.36
  6. Step 6: Final answer
    x = 1,565.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.