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Finding the Fourth Proportional to 1,085.61, 1,497.78 and 643.35

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Solution

The fourth proportional to 1,085.61, 1,497.78 and 643.35 is: 887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.61 : 1,497.78 = 643.35 : x
  2. Step 2: Convert to fraction form
    1,085.61/1,497.78 = 643.35/x
  3. Step 3: Cross multiply
    1,085.61x = 1,497.78 × 643.35
  4. Step 4: Simplify right side
    1,085.61x = 963,596.76
  5. Step 5: Solve for x
    x = 963,596.76/1,085.61
  6. Step 6: Final answer
    x = 887.61

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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.