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Finding the Fourth Proportional to 1,534.95, 2,301.06 and 560.37

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Solution

The fourth proportional to 1,534.95, 2,301.06 and 560.37 is: 840.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.95 : 2,301.06 = 560.37 : x
  2. Step 2: Convert to fraction form
    1,534.95/2,301.06 = 560.37/x
  3. Step 3: Cross multiply
    1,534.95x = 2,301.06 × 560.37
  4. Step 4: Simplify right side
    1,534.95x = 1,289,439.63
  5. Step 5: Solve for x
    x = 1,289,439.63/1,534.95
  6. Step 6: Final answer
    x = 840.05

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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.