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Finding the Fourth Proportional to 1,026.74, 1,416.75 and 607.10

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Solution

The fourth proportional to 1,026.74, 1,416.75 and 607.10 is: 837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.74 : 1,416.75 = 607.10 : x
  2. Step 2: Convert to fraction form
    1,026.74/1,416.75 = 607.10/x
  3. Step 3: Cross multiply
    1,026.74x = 1,416.75 × 607.10
  4. Step 4: Simplify right side
    1,026.74x = 860,101.84
  5. Step 5: Solve for x
    x = 860,101.84/1,026.74
  6. Step 6: Final answer
    x = 837.71

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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.