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Finding the Fourth Proportional to 924.86, 1,385.40 and 599.24

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Solution

The fourth proportional to 924.86, 1,385.40 and 599.24 is: 897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.86 : 1,385.40 = 599.24 : x
  2. Step 2: Convert to fraction form
    924.86/1,385.40 = 599.24/x
  3. Step 3: Cross multiply
    924.86x = 1,385.40 × 599.24
  4. Step 4: Simplify right side
    924.86x = 830,187.10
  5. Step 5: Solve for x
    x = 830,187.10/924.86
  6. Step 6: Final answer
    x = 897.64

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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.