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Finding the Fourth Proportional to 1,045.44, 1,569.74 and 830.76

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Solution

The fourth proportional to 1,045.44, 1,569.74 and 830.76 is: 1,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.44 : 1,569.74 = 830.76 : x
  2. Step 2: Convert to fraction form
    1,045.44/1,569.74 = 830.76/x
  3. Step 3: Cross multiply
    1,045.44x = 1,569.74 × 830.76
  4. Step 4: Simplify right side
    1,045.44x = 1,304,077.20
  5. Step 5: Solve for x
    x = 1,304,077.20/1,045.44
  6. Step 6: Final answer
    x = 1,247.40

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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.