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Finding the Fourth Proportional to 900.04, 1,242.04 and 507

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Solution

The fourth proportional to 900.04, 1,242.04 and 507 is: 699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.04 : 1,242.04 = 507 : x
  2. Step 2: Convert to fraction form
    900.04/1,242.04 = 507/x
  3. Step 3: Cross multiply
    900.04x = 1,242.04 × 507
  4. Step 4: Simplify right side
    900.04x = 629,714.28
  5. Step 5: Solve for x
    x = 629,714.28/900.04
  6. Step 6: Final answer
    x = 699.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.