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Finding the Fourth Proportional to 1,147.92, 1,584.06 and 705.66

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Solution

The fourth proportional to 1,147.92, 1,584.06 and 705.66 is: 973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.92 : 1,584.06 = 705.66 : x
  2. Step 2: Convert to fraction form
    1,147.92/1,584.06 = 705.66/x
  3. Step 3: Cross multiply
    1,147.92x = 1,584.06 × 705.66
  4. Step 4: Simplify right side
    1,147.92x = 1,117,807.78
  5. Step 5: Solve for x
    x = 1,117,807.78/1,147.92
  6. Step 6: Final answer
    x = 973.77

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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.