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Finding the Fourth Proportional to 860.32, 1,187.20 and 511

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Solution

The fourth proportional to 860.32, 1,187.20 and 511 is: 705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.32 : 1,187.20 = 511 : x
  2. Step 2: Convert to fraction form
    860.32/1,187.20 = 511/x
  3. Step 3: Cross multiply
    860.32x = 1,187.20 × 511
  4. Step 4: Simplify right side
    860.32x = 606,659.20
  5. Step 5: Solve for x
    x = 606,659.20/860.32
  6. Step 6: Final answer
    x = 705.16

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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.