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Finding the Fourth Proportional to 1,134.42, 1,702.12 and 586.99

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Solution

The fourth proportional to 1,134.42, 1,702.12 and 586.99 is: 880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.42 : 1,702.12 = 586.99 : x
  2. Step 2: Convert to fraction form
    1,134.42/1,702.12 = 586.99/x
  3. Step 3: Cross multiply
    1,134.42x = 1,702.12 × 586.99
  4. Step 4: Simplify right side
    1,134.42x = 999,127.42
  5. Step 5: Solve for x
    x = 999,127.42/1,134.42
  6. Step 6: Final answer
    x = 880.74

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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.