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Finding the Fourth Proportional to 1,045.38, 1,569.74 and 915.98

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Solution

The fourth proportional to 1,045.38, 1,569.74 and 915.98 is: 1,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.38 : 1,569.74 = 915.98 : x
  2. Step 2: Convert to fraction form
    1,045.38/1,569.74 = 915.98/x
  3. Step 3: Cross multiply
    1,045.38x = 1,569.74 × 915.98
  4. Step 4: Simplify right side
    1,045.38x = 1,437,850.45
  5. Step 5: Solve for x
    x = 1,437,850.45/1,045.38
  6. Step 6: Final answer
    x = 1,375.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.