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Finding the Fourth Proportional to 1,256.04, 1,883.70 and 434.10

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Solution

The fourth proportional to 1,256.04, 1,883.70 and 434.10 is: 651.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.04 : 1,883.70 = 434.10 : x
  2. Step 2: Convert to fraction form
    1,256.04/1,883.70 = 434.10/x
  3. Step 3: Cross multiply
    1,256.04x = 1,883.70 × 434.10
  4. Step 4: Simplify right side
    1,256.04x = 817,714.17
  5. Step 5: Solve for x
    x = 817,714.17/1,256.04
  6. Step 6: Final answer
    x = 651.03

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