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Finding the Fourth Proportional to 1,019.95, 1,406.58 and 646.27

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Solution

The fourth proportional to 1,019.95, 1,406.58 and 646.27 is: 891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.95 : 1,406.58 = 646.27 : x
  2. Step 2: Convert to fraction form
    1,019.95/1,406.58 = 646.27/x
  3. Step 3: Cross multiply
    1,019.95x = 1,406.58 × 646.27
  4. Step 4: Simplify right side
    1,019.95x = 909,030.46
  5. Step 5: Solve for x
    x = 909,030.46/1,019.95
  6. Step 6: Final answer
    x = 891.25

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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.