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Finding the Fourth Proportional to 1,047.34, 1,445.32 and 568.79

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Solution

The fourth proportional to 1,047.34, 1,445.32 and 568.79 is: 784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.34 : 1,445.32 = 568.79 : x
  2. Step 2: Convert to fraction form
    1,047.34/1,445.32 = 568.79/x
  3. Step 3: Cross multiply
    1,047.34x = 1,445.32 × 568.79
  4. Step 4: Simplify right side
    1,047.34x = 822,089.69
  5. Step 5: Solve for x
    x = 822,089.69/1,047.34
  6. Step 6: Final answer
    x = 784.93

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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.