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Finding the Fourth Proportional to 1,130.69, 1,696.07 and 400.10

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Solution

The fourth proportional to 1,130.69, 1,696.07 and 400.10 is: 600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.69 : 1,696.07 = 400.10 : x
  2. Step 2: Convert to fraction form
    1,130.69/1,696.07 = 400.10/x
  3. Step 3: Cross multiply
    1,130.69x = 1,696.07 × 400.10
  4. Step 4: Simplify right side
    1,130.69x = 678,587.13
  5. Step 5: Solve for x
    x = 678,587.13/1,130.69
  6. Step 6: Final answer
    x = 600.16

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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.