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Finding the Fourth Proportional to 750.10, 1,035.13 and 414.00

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Solution

The fourth proportional to 750.10, 1,035.13 and 414.00 is: 571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.10 : 1,035.13 = 414.00 : x
  2. Step 2: Convert to fraction form
    750.10/1,035.13 = 414.00/x
  3. Step 3: Cross multiply
    750.10x = 1,035.13 × 414.00
  4. Step 4: Simplify right side
    750.10x = 428,547.44
  5. Step 5: Solve for x
    x = 428,547.44/750.10
  6. Step 6: Final answer
    x = 571.32

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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.