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Finding the Fourth Proportional to 653.94, 978.95 and 500.45

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Solution

The fourth proportional to 653.94, 978.95 and 500.45 is: 749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.94 : 978.95 = 500.45 : x
  2. Step 2: Convert to fraction form
    653.94/978.95 = 500.45/x
  3. Step 3: Cross multiply
    653.94x = 978.95 × 500.45
  4. Step 4: Simplify right side
    653.94x = 489,911.88
  5. Step 5: Solve for x
    x = 489,911.88/653.94
  6. Step 6: Final answer
    x = 749.17

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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.