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Finding the Fourth Proportional to 1,017.04, 1,402.78 and 624.28

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Solution

The fourth proportional to 1,017.04, 1,402.78 and 624.28 is: 861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.04 : 1,402.78 = 624.28 : x
  2. Step 2: Convert to fraction form
    1,017.04/1,402.78 = 624.28/x
  3. Step 3: Cross multiply
    1,017.04x = 1,402.78 × 624.28
  4. Step 4: Simplify right side
    1,017.04x = 875,727.50
  5. Step 5: Solve for x
    x = 875,727.50/1,017.04
  6. Step 6: Final answer
    x = 861.06

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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.