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Finding the Fourth Proportional to 858.24, 1,184.40 and 509.12

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Solution

The fourth proportional to 858.24, 1,184.40 and 509.12 is: 702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.24 : 1,184.40 = 509.12 : x
  2. Step 2: Convert to fraction form
    858.24/1,184.40 = 509.12/x
  3. Step 3: Cross multiply
    858.24x = 1,184.40 × 509.12
  4. Step 4: Simplify right side
    858.24x = 603,001.73
  5. Step 5: Solve for x
    x = 603,001.73/858.24
  6. Step 6: Final answer
    x = 702.60

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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.