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Finding the Fourth Proportional to 1,152.85, 1,726.18 and 900.14

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Solution

The fourth proportional to 1,152.85, 1,726.18 and 900.14 is: 1,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.85 : 1,726.18 = 900.14 : x
  2. Step 2: Convert to fraction form
    1,152.85/1,726.18 = 900.14/x
  3. Step 3: Cross multiply
    1,152.85x = 1,726.18 × 900.14
  4. Step 4: Simplify right side
    1,152.85x = 1,553,807.98
  5. Step 5: Solve for x
    x = 1,553,807.98/1,152.85
  6. Step 6: Final answer
    x = 1,347.80

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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.