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Finding the Fourth Proportional to 526.68, 785.72 and 501.16

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Solution

The fourth proportional to 526.68, 785.72 and 501.16 is: 747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.68 : 785.72 = 501.16 : x
  2. Step 2: Convert to fraction form
    526.68/785.72 = 501.16/x
  3. Step 3: Cross multiply
    526.68x = 785.72 × 501.16
  4. Step 4: Simplify right side
    526.68x = 393,771.44
  5. Step 5: Solve for x
    x = 393,771.44/526.68
  6. Step 6: Final answer
    x = 747.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.