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Finding the Fourth Proportional to 1,428.02, 2,139.89 and 647.58

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Solution

The fourth proportional to 1,428.02, 2,139.89 and 647.58 is: 970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.02 : 2,139.89 = 647.58 : x
  2. Step 2: Convert to fraction form
    1,428.02/2,139.89 = 647.58/x
  3. Step 3: Cross multiply
    1,428.02x = 2,139.89 × 647.58
  4. Step 4: Simplify right side
    1,428.02x = 1,385,746.73
  5. Step 5: Solve for x
    x = 1,385,746.73/1,428.02
  6. Step 6: Final answer
    x = 970.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.