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Finding the Fourth Proportional to 860.58, 1,186.91 and 565.74

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Solution

The fourth proportional to 860.58, 1,186.91 and 565.74 is: 780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.58 : 1,186.91 = 565.74 : x
  2. Step 2: Convert to fraction form
    860.58/1,186.91 = 565.74/x
  3. Step 3: Cross multiply
    860.58x = 1,186.91 × 565.74
  4. Step 4: Simplify right side
    860.58x = 671,482.46
  5. Step 5: Solve for x
    x = 671,482.46/860.58
  6. Step 6: Final answer
    x = 780.27

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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.