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Finding the Fourth Proportional to 1,315.07, 1,972.65 and 665.45

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Solution

The fourth proportional to 1,315.07, 1,972.65 and 665.45 is: 998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.07 : 1,972.65 = 665.45 : x
  2. Step 2: Convert to fraction form
    1,315.07/1,972.65 = 665.45/x
  3. Step 3: Cross multiply
    1,315.07x = 1,972.65 × 665.45
  4. Step 4: Simplify right side
    1,315.07x = 1,312,690.08
  5. Step 5: Solve for x
    x = 1,312,690.08/1,315.07
  6. Step 6: Final answer
    x = 998.19

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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.