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Finding the Fourth Proportional to 651.04, 897.37 and 509.00

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Solution

The fourth proportional to 651.04, 897.37 and 509.00 is: 701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.04 : 897.37 = 509.00 : x
  2. Step 2: Convert to fraction form
    651.04/897.37 = 509.00/x
  3. Step 3: Cross multiply
    651.04x = 897.37 × 509.00
  4. Step 4: Simplify right side
    651.04x = 456,756.84
  5. Step 5: Solve for x
    x = 456,756.84/651.04
  6. Step 6: Final answer
    x = 701.59

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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.