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Finding the Fourth Proportional to 1,085.79, 1,498.04 and 643.64

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Solution

The fourth proportional to 1,085.79, 1,498.04 and 643.64 is: 888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.79 : 1,498.04 = 643.64 : x
  2. Step 2: Convert to fraction form
    1,085.79/1,498.04 = 643.64/x
  3. Step 3: Cross multiply
    1,085.79x = 1,498.04 × 643.64
  4. Step 4: Simplify right side
    1,085.79x = 964,187.76
  5. Step 5: Solve for x
    x = 964,187.76/1,085.79
  6. Step 6: Final answer
    x = 888.01

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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.