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Finding the Fourth Proportional to 929.19, 1,281.87 and 597.49

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Solution

The fourth proportional to 929.19, 1,281.87 and 597.49 is: 824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.19 : 1,281.87 = 597.49 : x
  2. Step 2: Convert to fraction form
    929.19/1,281.87 = 597.49/x
  3. Step 3: Cross multiply
    929.19x = 1,281.87 × 597.49
  4. Step 4: Simplify right side
    929.19x = 765,904.51
  5. Step 5: Solve for x
    x = 765,904.51/929.19
  6. Step 6: Final answer
    x = 824.27

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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.