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Finding the Fourth Proportional to 877.69, 1,319.64 and 848.53

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Solution

The fourth proportional to 877.69, 1,319.64 and 848.53 is: 1,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.69 : 1,319.64 = 848.53 : x
  2. Step 2: Convert to fraction form
    877.69/1,319.64 = 848.53/x
  3. Step 3: Cross multiply
    877.69x = 1,319.64 × 848.53
  4. Step 4: Simplify right side
    877.69x = 1,119,754.13
  5. Step 5: Solve for x
    x = 1,119,754.13/877.69
  6. Step 6: Final answer
    x = 1,275.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.