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Finding the Fourth Proportional to 1,030.14, 1,537.72 and 954.00

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Solution

The fourth proportional to 1,030.14, 1,537.72 and 954.00 is: 1,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.14 : 1,537.72 = 954.00 : x
  2. Step 2: Convert to fraction form
    1,030.14/1,537.72 = 954.00/x
  3. Step 3: Cross multiply
    1,030.14x = 1,537.72 × 954.00
  4. Step 4: Simplify right side
    1,030.14x = 1,466,985.61
  5. Step 5: Solve for x
    x = 1,466,985.61/1,030.14
  6. Step 6: Final answer
    x = 1,424.06

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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.