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Finding the Fourth Proportional to 647.52, 895.64 and 509.01

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Solution

The fourth proportional to 647.52, 895.64 and 509.01 is: 704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.52 : 895.64 = 509.01 : x
  2. Step 2: Convert to fraction form
    647.52/895.64 = 509.01/x
  3. Step 3: Cross multiply
    647.52x = 895.64 × 509.01
  4. Step 4: Simplify right side
    647.52x = 455,887.17
  5. Step 5: Solve for x
    x = 455,887.17/647.52
  6. Step 6: Final answer
    x = 704.05

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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.