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Finding the Fourth Proportional to 1,258.44, 1,887.69 and 436.77

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Solution

The fourth proportional to 1,258.44, 1,887.69 and 436.77 is: 655.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.44 : 1,887.69 = 436.77 : x
  2. Step 2: Convert to fraction form
    1,258.44/1,887.69 = 436.77/x
  3. Step 3: Cross multiply
    1,258.44x = 1,887.69 × 436.77
  4. Step 4: Simplify right side
    1,258.44x = 824,486.36
  5. Step 5: Solve for x
    x = 824,486.36/1,258.44
  6. Step 6: Final answer
    x = 655.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.