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Finding the Fourth Proportional to 1,006.95, 1,389.18 and 652.78

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Solution

The fourth proportional to 1,006.95, 1,389.18 and 652.78 is: 900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.95 : 1,389.18 = 652.78 : x
  2. Step 2: Convert to fraction form
    1,006.95/1,389.18 = 652.78/x
  3. Step 3: Cross multiply
    1,006.95x = 1,389.18 × 652.78
  4. Step 4: Simplify right side
    1,006.95x = 906,828.92
  5. Step 5: Solve for x
    x = 906,828.92/1,006.95
  6. Step 6: Final answer
    x = 900.57

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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.