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Finding the Fourth Proportional to 1,130.16, 1,696.14 and 805.76

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Solution

The fourth proportional to 1,130.16, 1,696.14 and 805.76 is: 1,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.16 : 1,696.14 = 805.76 : x
  2. Step 2: Convert to fraction form
    1,130.16/1,696.14 = 805.76/x
  3. Step 3: Cross multiply
    1,130.16x = 1,696.14 × 805.76
  4. Step 4: Simplify right side
    1,130.16x = 1,366,681.77
  5. Step 5: Solve for x
    x = 1,366,681.77/1,130.16
  6. Step 6: Final answer
    x = 1,209.28

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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.