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Finding the Fourth Proportional to 1,030.86, 1,532.25 and 1,003.59

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Solution

The fourth proportional to 1,030.86, 1,532.25 and 1,003.59 is: 1,491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.86 : 1,532.25 = 1,003.59 : x
  2. Step 2: Convert to fraction form
    1,030.86/1,532.25 = 1,003.59/x
  3. Step 3: Cross multiply
    1,030.86x = 1,532.25 × 1,003.59
  4. Step 4: Simplify right side
    1,030.86x = 1,537,750.78
  5. Step 5: Solve for x
    x = 1,537,750.78/1,030.86
  6. Step 6: Final answer
    x = 1,491.72

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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.