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Finding the Fourth Proportional to 1,053.27, 1,572.30 and 1,005.93

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Solution

The fourth proportional to 1,053.27, 1,572.30 and 1,005.93 is: 1,501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.27 : 1,572.30 = 1,005.93 : x
  2. Step 2: Convert to fraction form
    1,053.27/1,572.30 = 1,005.93/x
  3. Step 3: Cross multiply
    1,053.27x = 1,572.30 × 1,005.93
  4. Step 4: Simplify right side
    1,053.27x = 1,581,623.74
  5. Step 5: Solve for x
    x = 1,581,623.74/1,053.27
  6. Step 6: Final answer
    x = 1,501.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.