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Finding the Fourth Proportional to 1,145.48, 1,580.34 and 697.22

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Solution

The fourth proportional to 1,145.48, 1,580.34 and 697.22 is: 961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.48 : 1,580.34 = 697.22 : x
  2. Step 2: Convert to fraction form
    1,145.48/1,580.34 = 697.22/x
  3. Step 3: Cross multiply
    1,145.48x = 1,580.34 × 697.22
  4. Step 4: Simplify right side
    1,145.48x = 1,101,844.65
  5. Step 5: Solve for x
    x = 1,101,844.65/1,145.48
  6. Step 6: Final answer
    x = 961.91

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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.