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Finding the Fourth Proportional to 751.84, 1,036.96 and 647.10

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Solution

The fourth proportional to 751.84, 1,036.96 and 647.10 is: 892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.84 : 1,036.96 = 647.10 : x
  2. Step 2: Convert to fraction form
    751.84/1,036.96 = 647.10/x
  3. Step 3: Cross multiply
    751.84x = 1,036.96 × 647.10
  4. Step 4: Simplify right side
    751.84x = 671,016.82
  5. Step 5: Solve for x
    x = 671,016.82/751.84
  6. Step 6: Final answer
    x = 892.51

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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.