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Finding the Fourth Proportional to 653.04, 902.16 and 514.08

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Solution

The fourth proportional to 653.04, 902.16 and 514.08 is: 710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.04 : 902.16 = 514.08 : x
  2. Step 2: Convert to fraction form
    653.04/902.16 = 514.08/x
  3. Step 3: Cross multiply
    653.04x = 902.16 × 514.08
  4. Step 4: Simplify right side
    653.04x = 463,782.41
  5. Step 5: Solve for x
    x = 463,782.41/653.04
  6. Step 6: Final answer
    x = 710.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.