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Finding the Fourth Proportional to 1,063.55, 1,467.65 and 597.80

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Solution

The fourth proportional to 1,063.55, 1,467.65 and 597.80 is: 824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.55 : 1,467.65 = 597.80 : x
  2. Step 2: Convert to fraction form
    1,063.55/1,467.65 = 597.80/x
  3. Step 3: Cross multiply
    1,063.55x = 1,467.65 × 597.80
  4. Step 4: Simplify right side
    1,063.55x = 877,358.18
  5. Step 5: Solve for x
    x = 877,358.18/1,063.55
  6. Step 6: Final answer
    x = 824.93

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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.