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Finding the Fourth Proportional to 916.08, 1,374.12 and 477.24

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Solution

The fourth proportional to 916.08, 1,374.12 and 477.24 is: 715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.08 : 1,374.12 = 477.24 : x
  2. Step 2: Convert to fraction form
    916.08/1,374.12 = 477.24/x
  3. Step 3: Cross multiply
    916.08x = 1,374.12 × 477.24
  4. Step 4: Simplify right side
    916.08x = 655,785.03
  5. Step 5: Solve for x
    x = 655,785.03/916.08
  6. Step 6: Final answer
    x = 715.86

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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.