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Finding the Fourth Proportional to 917.61, 1,265.18 and 784.59

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Solution

The fourth proportional to 917.61, 1,265.18 and 784.59 is: 1,081.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.61 : 1,265.18 = 784.59 : x
  2. Step 2: Convert to fraction form
    917.61/1,265.18 = 784.59/x
  3. Step 3: Cross multiply
    917.61x = 1,265.18 × 784.59
  4. Step 4: Simplify right side
    917.61x = 992,643.65
  5. Step 5: Solve for x
    x = 992,643.65/917.61
  6. Step 6: Final answer
    x = 1,081.77

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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.