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Finding the Fourth Proportional to 780.84, 1,077.06 and 657.24

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Solution

The fourth proportional to 780.84, 1,077.06 and 657.24 is: 906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.84 : 1,077.06 = 657.24 : x
  2. Step 2: Convert to fraction form
    780.84/1,077.06 = 657.24/x
  3. Step 3: Cross multiply
    780.84x = 1,077.06 × 657.24
  4. Step 4: Simplify right side
    780.84x = 707,886.91
  5. Step 5: Solve for x
    x = 707,886.91/780.84
  6. Step 6: Final answer
    x = 906.57

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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.