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Finding the Fourth Proportional to 1,534.42, 2,301.02 and 560.30

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Solution

The fourth proportional to 1,534.42, 2,301.02 and 560.30 is: 840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.42 : 2,301.02 = 560.30 : x
  2. Step 2: Convert to fraction form
    1,534.42/2,301.02 = 560.30/x
  3. Step 3: Cross multiply
    1,534.42x = 2,301.02 × 560.30
  4. Step 4: Simplify right side
    1,534.42x = 1,289,261.51
  5. Step 5: Solve for x
    x = 1,289,261.51/1,534.42
  6. Step 6: Final answer
    x = 840.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.