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Finding the Fourth Proportional to 1,061.66, 1,590.02 and 512.06

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Solution

The fourth proportional to 1,061.66, 1,590.02 and 512.06 is: 766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.66 : 1,590.02 = 512.06 : x
  2. Step 2: Convert to fraction form
    1,061.66/1,590.02 = 512.06/x
  3. Step 3: Cross multiply
    1,061.66x = 1,590.02 × 512.06
  4. Step 4: Simplify right side
    1,061.66x = 814,185.64
  5. Step 5: Solve for x
    x = 814,185.64/1,061.66
  6. Step 6: Final answer
    x = 766.90

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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.