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Finding the Fourth Proportional to 1,053.12, 1,585.84 and 781.16

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Solution

The fourth proportional to 1,053.12, 1,585.84 and 781.16 is: 1,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.12 : 1,585.84 = 781.16 : x
  2. Step 2: Convert to fraction form
    1,053.12/1,585.84 = 781.16/x
  3. Step 3: Cross multiply
    1,053.12x = 1,585.84 × 781.16
  4. Step 4: Simplify right side
    1,053.12x = 1,238,794.77
  5. Step 5: Solve for x
    x = 1,238,794.77/1,053.12
  6. Step 6: Final answer
    x = 1,176.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.