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Finding the Fourth Proportional to 1,134.95, 1,702.31 and 313.14

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Solution

The fourth proportional to 1,134.95, 1,702.31 and 313.14 is: 469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.95 : 1,702.31 = 313.14 : x
  2. Step 2: Convert to fraction form
    1,134.95/1,702.31 = 313.14/x
  3. Step 3: Cross multiply
    1,134.95x = 1,702.31 × 313.14
  4. Step 4: Simplify right side
    1,134.95x = 533,061.35
  5. Step 5: Solve for x
    x = 533,061.35/1,134.95
  6. Step 6: Final answer
    x = 469.68

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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.