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Finding the Fourth Proportional to 874.64, 1,312.12 and 601.26

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Solution

The fourth proportional to 874.64, 1,312.12 and 601.26 is: 902.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.64 : 1,312.12 = 601.26 : x
  2. Step 2: Convert to fraction form
    874.64/1,312.12 = 601.26/x
  3. Step 3: Cross multiply
    874.64x = 1,312.12 × 601.26
  4. Step 4: Simplify right side
    874.64x = 788,925.27
  5. Step 5: Solve for x
    x = 788,925.27/874.64
  6. Step 6: Final answer
    x = 902.00

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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.