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Finding the Fourth Proportional to 1,026.84, 1,417.08 and 607.20

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Solution

The fourth proportional to 1,026.84, 1,417.08 and 607.20 is: 837.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.84 : 1,417.08 = 607.20 : x
  2. Step 2: Convert to fraction form
    1,026.84/1,417.08 = 607.20/x
  3. Step 3: Cross multiply
    1,026.84x = 1,417.08 × 607.20
  4. Step 4: Simplify right side
    1,026.84x = 860,450.98
  5. Step 5: Solve for x
    x = 860,450.98/1,026.84
  6. Step 6: Final answer
    x = 837.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.