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Finding the Fourth Proportional to 1,007.04, 1,509.82 and 313.31

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Solution

The fourth proportional to 1,007.04, 1,509.82 and 313.31 is: 469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.04 : 1,509.82 = 313.31 : x
  2. Step 2: Convert to fraction form
    1,007.04/1,509.82 = 313.31/x
  3. Step 3: Cross multiply
    1,007.04x = 1,509.82 × 313.31
  4. Step 4: Simplify right side
    1,007.04x = 473,044.70
  5. Step 5: Solve for x
    x = 473,044.70/1,007.04
  6. Step 6: Final answer
    x = 469.74

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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.