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Finding the Fourth Proportional to 1,059.56, 1,459.58 and 901.69

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Solution

The fourth proportional to 1,059.56, 1,459.58 and 901.69 is: 1,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.56 : 1,459.58 = 901.69 : x
  2. Step 2: Convert to fraction form
    1,059.56/1,459.58 = 901.69/x
  3. Step 3: Cross multiply
    1,059.56x = 1,459.58 × 901.69
  4. Step 4: Simplify right side
    1,059.56x = 1,316,088.69
  5. Step 5: Solve for x
    x = 1,316,088.69/1,059.56
  6. Step 6: Final answer
    x = 1,242.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.