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Finding the Fourth Proportional to 648.52, 897.02 and 510.01

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Solution

The fourth proportional to 648.52, 897.02 and 510.01 is: 705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.52 : 897.02 = 510.01 : x
  2. Step 2: Convert to fraction form
    648.52/897.02 = 510.01/x
  3. Step 3: Cross multiply
    648.52x = 897.02 × 510.01
  4. Step 4: Simplify right side
    648.52x = 457,489.17
  5. Step 5: Solve for x
    x = 457,489.17/648.52
  6. Step 6: Final answer
    x = 705.44

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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.