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Finding the Fourth Proportional to 1,134.48, 1,565.62 and 637.18

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Solution

The fourth proportional to 1,134.48, 1,565.62 and 637.18 is: 879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.48 : 1,565.62 = 637.18 : x
  2. Step 2: Convert to fraction form
    1,134.48/1,565.62 = 637.18/x
  3. Step 3: Cross multiply
    1,134.48x = 1,565.62 × 637.18
  4. Step 4: Simplify right side
    1,134.48x = 997,581.75
  5. Step 5: Solve for x
    x = 997,581.75/1,134.48
  6. Step 6: Final answer
    x = 879.33

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Double scale
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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.