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Finding the Fourth Proportional to 671.64, 1,007.01 and 507

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Solution

The fourth proportional to 671.64, 1,007.01 and 507 is: 760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.64 : 1,007.01 = 507 : x
  2. Step 2: Convert to fraction form
    671.64/1,007.01 = 507/x
  3. Step 3: Cross multiply
    671.64x = 1,007.01 × 507
  4. Step 4: Simplify right side
    671.64x = 510,554.07
  5. Step 5: Solve for x
    x = 510,554.07/671.64
  6. Step 6: Final answer
    x = 760.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.