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Finding the Fourth Proportional to 1,071.42, 1,607.18 and 341.00

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Solution

The fourth proportional to 1,071.42, 1,607.18 and 341.00 is: 511.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.42 : 1,607.18 = 341.00 : x
  2. Step 2: Convert to fraction form
    1,071.42/1,607.18 = 341.00/x
  3. Step 3: Cross multiply
    1,071.42x = 1,607.18 × 341.00
  4. Step 4: Simplify right side
    1,071.42x = 548,050.69
  5. Step 5: Solve for x
    x = 548,050.69/1,071.42
  6. Step 6: Final answer
    x = 511.52

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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.