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Finding the Fourth Proportional to 1,582.30, 2,373.54 and 657.82

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Solution

The fourth proportional to 1,582.30, 2,373.54 and 657.82 is: 986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.30 : 2,373.54 = 657.82 : x
  2. Step 2: Convert to fraction form
    1,582.30/2,373.54 = 657.82/x
  3. Step 3: Cross multiply
    1,582.30x = 2,373.54 × 657.82
  4. Step 4: Simplify right side
    1,582.30x = 1,561,362.08
  5. Step 5: Solve for x
    x = 1,561,362.08/1,582.30
  6. Step 6: Final answer
    x = 986.77

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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.