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Finding the Fourth Proportional to 1,006.40, 1,509.90 and 313.04

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Solution

The fourth proportional to 1,006.40, 1,509.90 and 313.04 is: 469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.40 : 1,509.90 = 313.04 : x
  2. Step 2: Convert to fraction form
    1,006.40/1,509.90 = 313.04/x
  3. Step 3: Cross multiply
    1,006.40x = 1,509.90 × 313.04
  4. Step 4: Simplify right side
    1,006.40x = 472,659.10
  5. Step 5: Solve for x
    x = 472,659.10/1,006.40
  6. Step 6: Final answer
    x = 469.65

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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.