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Finding the Fourth Proportional to 1,030.27, 1,537.91 and 954.13

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Solution

The fourth proportional to 1,030.27, 1,537.91 and 954.13 is: 1,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.27 : 1,537.91 = 954.13 : x
  2. Step 2: Convert to fraction form
    1,030.27/1,537.91 = 954.13/x
  3. Step 3: Cross multiply
    1,030.27x = 1,537.91 × 954.13
  4. Step 4: Simplify right side
    1,030.27x = 1,467,355.53
  5. Step 5: Solve for x
    x = 1,467,355.53/1,030.27
  6. Step 6: Final answer
    x = 1,424.25

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Why These Related Problems?

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