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Finding the Fourth Proportional to 1,054.86, 1,582.90 and 689.64

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Solution

The fourth proportional to 1,054.86, 1,582.90 and 689.64 is: 1,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.86 : 1,582.90 = 689.64 : x
  2. Step 2: Convert to fraction form
    1,054.86/1,582.90 = 689.64/x
  3. Step 3: Cross multiply
    1,054.86x = 1,582.90 × 689.64
  4. Step 4: Simplify right side
    1,054.86x = 1,091,631.16
  5. Step 5: Solve for x
    x = 1,091,631.16/1,054.86
  6. Step 6: Final answer
    x = 1,034.86

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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.