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Finding the Fourth Proportional to 1,147.06, 1,582.59 and 774.46

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Solution

The fourth proportional to 1,147.06, 1,582.59 and 774.46 is: 1,068.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.06 : 1,582.59 = 774.46 : x
  2. Step 2: Convert to fraction form
    1,147.06/1,582.59 = 774.46/x
  3. Step 3: Cross multiply
    1,147.06x = 1,582.59 × 774.46
  4. Step 4: Simplify right side
    1,147.06x = 1,225,652.65
  5. Step 5: Solve for x
    x = 1,225,652.65/1,147.06
  6. Step 6: Final answer
    x = 1,068.52

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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.