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Finding the Fourth Proportional to 1,047.55, 1,569.30 and 974.65

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Solution

The fourth proportional to 1,047.55, 1,569.30 and 974.65 is: 1,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.55 : 1,569.30 = 974.65 : x
  2. Step 2: Convert to fraction form
    1,047.55/1,569.30 = 974.65/x
  3. Step 3: Cross multiply
    1,047.55x = 1,569.30 × 974.65
  4. Step 4: Simplify right side
    1,047.55x = 1,529,518.25
  5. Step 5: Solve for x
    x = 1,529,518.25/1,047.55
  6. Step 6: Final answer
    x = 1,460.09

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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.