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Finding the Fourth Proportional to 1,026.63, 1,416.86 and 607.13

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Solution

The fourth proportional to 1,026.63, 1,416.86 and 607.13 is: 837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.63 : 1,416.86 = 607.13 : x
  2. Step 2: Convert to fraction form
    1,026.63/1,416.86 = 607.13/x
  3. Step 3: Cross multiply
    1,026.63x = 1,416.86 × 607.13
  4. Step 4: Simplify right side
    1,026.63x = 860,208.09
  5. Step 5: Solve for x
    x = 860,208.09/1,026.63
  6. Step 6: Final answer
    x = 837.89

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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.