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Finding the Fourth Proportional to 1,307.22, 1,802.94 and 1,158

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Solution

The fourth proportional to 1,307.22, 1,802.94 and 1,158 is: 1,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.22 : 1,802.94 = 1,158 : x
  2. Step 2: Convert to fraction form
    1,307.22/1,802.94 = 1,158/x
  3. Step 3: Cross multiply
    1,307.22x = 1,802.94 × 1,158
  4. Step 4: Simplify right side
    1,307.22x = 2,087,804.52
  5. Step 5: Solve for x
    x = 2,087,804.52/1,307.22
  6. Step 6: Final answer
    x = 1,597.13

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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.