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Finding the Fourth Proportional to 875.79, 1,208.57 and 526.47

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Solution

The fourth proportional to 875.79, 1,208.57 and 526.47 is: 726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.79 : 1,208.57 = 526.47 : x
  2. Step 2: Convert to fraction form
    875.79/1,208.57 = 526.47/x
  3. Step 3: Cross multiply
    875.79x = 1,208.57 × 526.47
  4. Step 4: Simplify right side
    875.79x = 636,275.85
  5. Step 5: Solve for x
    x = 636,275.85/875.79
  6. Step 6: Final answer
    x = 726.52

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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.