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Finding the Fourth Proportional to 942.12, 1,411.34 and 530.01

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Solution

The fourth proportional to 942.12, 1,411.34 and 530.01 is: 793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.12 : 1,411.34 = 530.01 : x
  2. Step 2: Convert to fraction form
    942.12/1,411.34 = 530.01/x
  3. Step 3: Cross multiply
    942.12x = 1,411.34 × 530.01
  4. Step 4: Simplify right side
    942.12x = 748,021.66
  5. Step 5: Solve for x
    x = 748,021.66/942.12
  6. Step 6: Final answer
    x = 793.98

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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.