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Finding the Fourth Proportional to 1,009.38, 1,389.75 and 917.10

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Solution

The fourth proportional to 1,009.38, 1,389.75 and 917.10 is: 1,262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.38 : 1,389.75 = 917.10 : x
  2. Step 2: Convert to fraction form
    1,009.38/1,389.75 = 917.10/x
  3. Step 3: Cross multiply
    1,009.38x = 1,389.75 × 917.10
  4. Step 4: Simplify right side
    1,009.38x = 1,274,539.73
  5. Step 5: Solve for x
    x = 1,274,539.73/1,009.38
  6. Step 6: Final answer
    x = 1,262.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.