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Finding the Fourth Proportional to 1,152.99, 1,726.52 and 858.69

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Solution

The fourth proportional to 1,152.99, 1,726.52 and 858.69 is: 1,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.99 : 1,726.52 = 858.69 : x
  2. Step 2: Convert to fraction form
    1,152.99/1,726.52 = 858.69/x
  3. Step 3: Cross multiply
    1,152.99x = 1,726.52 × 858.69
  4. Step 4: Simplify right side
    1,152.99x = 1,482,541.17
  5. Step 5: Solve for x
    x = 1,482,541.17/1,152.99
  6. Step 6: Final answer
    x = 1,285.82

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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.