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Finding the Fourth Proportional to 929.74, 1,395.06 and 657.58

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Solution

The fourth proportional to 929.74, 1,395.06 and 657.58 is: 986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.74 : 1,395.06 = 657.58 : x
  2. Step 2: Convert to fraction form
    929.74/1,395.06 = 657.58/x
  3. Step 3: Cross multiply
    929.74x = 1,395.06 × 657.58
  4. Step 4: Simplify right side
    929.74x = 917,360.07
  5. Step 5: Solve for x
    x = 917,360.07/929.74
  6. Step 6: Final answer
    x = 986.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.