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Finding the Fourth Proportional to 587.60, 807.25 and 526.24

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Solution

The fourth proportional to 587.60, 807.25 and 526.24 is: 722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.60 : 807.25 = 526.24 : x
  2. Step 2: Convert to fraction form
    587.60/807.25 = 526.24/x
  3. Step 3: Cross multiply
    587.60x = 807.25 × 526.24
  4. Step 4: Simplify right side
    587.60x = 424,807.24
  5. Step 5: Solve for x
    x = 424,807.24/587.60
  6. Step 6: Final answer
    x = 722.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.