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Finding the Fourth Proportional to 1,070.16, 1,476.75 and 604.38

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Solution

The fourth proportional to 1,070.16, 1,476.75 and 604.38 is: 834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.16 : 1,476.75 = 604.38 : x
  2. Step 2: Convert to fraction form
    1,070.16/1,476.75 = 604.38/x
  3. Step 3: Cross multiply
    1,070.16x = 1,476.75 × 604.38
  4. Step 4: Simplify right side
    1,070.16x = 892,518.17
  5. Step 5: Solve for x
    x = 892,518.17/1,070.16
  6. Step 6: Final answer
    x = 834.00

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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.