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Finding the Fourth Proportional to 1,135.12, 1,702.65 and 313.45

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Solution

The fourth proportional to 1,135.12, 1,702.65 and 313.45 is: 470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.12 : 1,702.65 = 313.45 : x
  2. Step 2: Convert to fraction form
    1,135.12/1,702.65 = 313.45/x
  3. Step 3: Cross multiply
    1,135.12x = 1,702.65 × 313.45
  4. Step 4: Simplify right side
    1,135.12x = 533,695.64
  5. Step 5: Solve for x
    x = 533,695.64/1,135.12
  6. Step 6: Final answer
    x = 470.17

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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.