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Finding the Fourth Proportional to 853.84, 1,177.86 and 503.92

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Solution

The fourth proportional to 853.84, 1,177.86 and 503.92 is: 695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.84 : 1,177.86 = 503.92 : x
  2. Step 2: Convert to fraction form
    853.84/1,177.86 = 503.92/x
  3. Step 3: Cross multiply
    853.84x = 1,177.86 × 503.92
  4. Step 4: Simplify right side
    853.84x = 593,547.21
  5. Step 5: Solve for x
    x = 593,547.21/853.84
  6. Step 6: Final answer
    x = 695.15

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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.