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Finding the Fourth Proportional to 1,001.17, 1,501.58 and 270.81

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Solution

The fourth proportional to 1,001.17, 1,501.58 and 270.81 is: 406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.17 : 1,501.58 = 270.81 : x
  2. Step 2: Convert to fraction form
    1,001.17/1,501.58 = 270.81/x
  3. Step 3: Cross multiply
    1,001.17x = 1,501.58 × 270.81
  4. Step 4: Simplify right side
    1,001.17x = 406,639.71
  5. Step 5: Solve for x
    x = 406,639.71/1,001.17
  6. Step 6: Final answer
    x = 406.16

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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.