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Finding the Fourth Proportional to 1,445.59, 2,167.02 and 471.01

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Solution

The fourth proportional to 1,445.59, 2,167.02 and 471.01 is: 706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.59 : 2,167.02 = 471.01 : x
  2. Step 2: Convert to fraction form
    1,445.59/2,167.02 = 471.01/x
  3. Step 3: Cross multiply
    1,445.59x = 2,167.02 × 471.01
  4. Step 4: Simplify right side
    1,445.59x = 1,020,688.09
  5. Step 5: Solve for x
    x = 1,020,688.09/1,445.59
  6. Step 6: Final answer
    x = 706.07

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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.