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Finding the Fourth Proportional to 1,029.83, 1,537.25 and 953.69

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Solution

The fourth proportional to 1,029.83, 1,537.25 and 953.69 is: 1,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.83 : 1,537.25 = 953.69 : x
  2. Step 2: Convert to fraction form
    1,029.83/1,537.25 = 953.69/x
  3. Step 3: Cross multiply
    1,029.83x = 1,537.25 × 953.69
  4. Step 4: Simplify right side
    1,029.83x = 1,466,060.42
  5. Step 5: Solve for x
    x = 1,466,060.42/1,029.83
  6. Step 6: Final answer
    x = 1,423.60

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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.