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Finding the Fourth Proportional to 653.13, 978.03 and 524.61

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Solution

The fourth proportional to 653.13, 978.03 and 524.61 is: 785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.13 : 978.03 = 524.61 : x
  2. Step 2: Convert to fraction form
    653.13/978.03 = 524.61/x
  3. Step 3: Cross multiply
    653.13x = 978.03 × 524.61
  4. Step 4: Simplify right side
    653.13x = 513,084.32
  5. Step 5: Solve for x
    x = 513,084.32/653.13
  6. Step 6: Final answer
    x = 785.58

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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.