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Finding the Fourth Proportional to 1,582.86, 2,373.66 and 657.79

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Solution

The fourth proportional to 1,582.86, 2,373.66 and 657.79 is: 986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.86 : 2,373.66 = 657.79 : x
  2. Step 2: Convert to fraction form
    1,582.86/2,373.66 = 657.79/x
  3. Step 3: Cross multiply
    1,582.86x = 2,373.66 × 657.79
  4. Step 4: Simplify right side
    1,582.86x = 1,561,369.81
  5. Step 5: Solve for x
    x = 1,561,369.81/1,582.86
  6. Step 6: Final answer
    x = 986.42

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Why These Related Problems?

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