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Finding the Fourth Proportional to 945.83, 1,416.38 and 598.12

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Solution

The fourth proportional to 945.83, 1,416.38 and 598.12 is: 895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.83 : 1,416.38 = 598.12 : x
  2. Step 2: Convert to fraction form
    945.83/1,416.38 = 598.12/x
  3. Step 3: Cross multiply
    945.83x = 1,416.38 × 598.12
  4. Step 4: Simplify right side
    945.83x = 847,158.67
  5. Step 5: Solve for x
    x = 847,158.67/945.83
  6. Step 6: Final answer
    x = 895.68

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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.