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Finding the Fourth Proportional to 880.42, 1,314.13 and 776.66

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Solution

The fourth proportional to 880.42, 1,314.13 and 776.66 is: 1,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.42 : 1,314.13 = 776.66 : x
  2. Step 2: Convert to fraction form
    880.42/1,314.13 = 776.66/x
  3. Step 3: Cross multiply
    880.42x = 1,314.13 × 776.66
  4. Step 4: Simplify right side
    880.42x = 1,020,628.32
  5. Step 5: Solve for x
    x = 1,020,628.32/880.42
  6. Step 6: Final answer
    x = 1,159.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.