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Finding the Fourth Proportional to 1,485.34, 2,227.40 and 560.42

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Solution

The fourth proportional to 1,485.34, 2,227.40 and 560.42 is: 840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.34 : 2,227.40 = 560.42 : x
  2. Step 2: Convert to fraction form
    1,485.34/2,227.40 = 560.42/x
  3. Step 3: Cross multiply
    1,485.34x = 2,227.40 × 560.42
  4. Step 4: Simplify right side
    1,485.34x = 1,248,279.51
  5. Step 5: Solve for x
    x = 1,248,279.51/1,485.34
  6. Step 6: Final answer
    x = 840.40

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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.