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Finding the Fourth Proportional to 1,019.59, 1,407.07 and 626.74

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Solution

The fourth proportional to 1,019.59, 1,407.07 and 626.74 is: 864.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.59 : 1,407.07 = 626.74 : x
  2. Step 2: Convert to fraction form
    1,019.59/1,407.07 = 626.74/x
  3. Step 3: Cross multiply
    1,019.59x = 1,407.07 × 626.74
  4. Step 4: Simplify right side
    1,019.59x = 881,864.32
  5. Step 5: Solve for x
    x = 881,864.32/1,019.59
  6. Step 6: Final answer
    x = 864.92

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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.