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Finding the Fourth Proportional to 854.02, 1,178.58 and 500.16

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Solution

The fourth proportional to 854.02, 1,178.58 and 500.16 is: 690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.02 : 1,178.58 = 500.16 : x
  2. Step 2: Convert to fraction form
    854.02/1,178.58 = 500.16/x
  3. Step 3: Cross multiply
    854.02x = 1,178.58 × 500.16
  4. Step 4: Simplify right side
    854.02x = 589,478.57
  5. Step 5: Solve for x
    x = 589,478.57/854.02
  6. Step 6: Final answer
    x = 690.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.