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Finding the Fourth Proportional to 582.02, 876.92 and 526.50

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Solution

The fourth proportional to 582.02, 876.92 and 526.50 is: 793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.02 : 876.92 = 526.50 : x
  2. Step 2: Convert to fraction form
    582.02/876.92 = 526.50/x
  3. Step 3: Cross multiply
    582.02x = 876.92 × 526.50
  4. Step 4: Simplify right side
    582.02x = 461,691.36
  5. Step 5: Solve for x
    x = 461,691.36/582.02
  6. Step 6: Final answer
    x = 793.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.