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Finding the Fourth Proportional to 907.98, 1,253.04 and 509.64

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Solution

The fourth proportional to 907.98, 1,253.04 and 509.64 is: 703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.98 : 1,253.04 = 509.64 : x
  2. Step 2: Convert to fraction form
    907.98/1,253.04 = 509.64/x
  3. Step 3: Cross multiply
    907.98x = 1,253.04 × 509.64
  4. Step 4: Simplify right side
    907.98x = 638,599.31
  5. Step 5: Solve for x
    x = 638,599.31/907.98
  6. Step 6: Final answer
    x = 703.32

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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.