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Finding the Fourth Proportional to 1,146.99, 1,582.85 and 623.02

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Solution

The fourth proportional to 1,146.99, 1,582.85 and 623.02 is: 859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.99 : 1,582.85 = 623.02 : x
  2. Step 2: Convert to fraction form
    1,146.99/1,582.85 = 623.02/x
  3. Step 3: Cross multiply
    1,146.99x = 1,582.85 × 623.02
  4. Step 4: Simplify right side
    1,146.99x = 986,140.13
  5. Step 5: Solve for x
    x = 986,140.13/1,146.99
  6. Step 6: Final answer
    x = 859.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.