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Finding the Fourth Proportional to 1,045.27, 1,567.82 and 524.74

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Solution

The fourth proportional to 1,045.27, 1,567.82 and 524.74 is: 787.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.27 : 1,567.82 = 524.74 : x
  2. Step 2: Convert to fraction form
    1,045.27/1,567.82 = 524.74/x
  3. Step 3: Cross multiply
    1,045.27x = 1,567.82 × 524.74
  4. Step 4: Simplify right side
    1,045.27x = 822,687.40
  5. Step 5: Solve for x
    x = 822,687.40/1,045.27
  6. Step 6: Final answer
    x = 787.06

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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.