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Finding the Fourth Proportional to 1,134.51, 1,565.69 and 637.17

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Solution

The fourth proportional to 1,134.51, 1,565.69 and 637.17 is: 879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.51 : 1,565.69 = 637.17 : x
  2. Step 2: Convert to fraction form
    1,134.51/1,565.69 = 637.17/x
  3. Step 3: Cross multiply
    1,134.51x = 1,565.69 × 637.17
  4. Step 4: Simplify right side
    1,134.51x = 997,607.51
  5. Step 5: Solve for x
    x = 997,607.51/1,134.51
  6. Step 6: Final answer
    x = 879.33

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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.