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Finding the Fourth Proportional to 707.47, 1,059.76 and 364.75

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Solution

The fourth proportional to 707.47, 1,059.76 and 364.75 is: 546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.47 : 1,059.76 = 364.75 : x
  2. Step 2: Convert to fraction form
    707.47/1,059.76 = 364.75/x
  3. Step 3: Cross multiply
    707.47x = 1,059.76 × 364.75
  4. Step 4: Simplify right side
    707.47x = 386,547.46
  5. Step 5: Solve for x
    x = 386,547.46/707.47
  6. Step 6: Final answer
    x = 546.38

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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.