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Finding the Fourth Proportional to 1,095.18, 1,510.26 and 701.52

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Solution

The fourth proportional to 1,095.18, 1,510.26 and 701.52 is: 967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.18 : 1,510.26 = 701.52 : x
  2. Step 2: Convert to fraction form
    1,095.18/1,510.26 = 701.52/x
  3. Step 3: Cross multiply
    1,095.18x = 1,510.26 × 701.52
  4. Step 4: Simplify right side
    1,095.18x = 1,059,477.60
  5. Step 5: Solve for x
    x = 1,059,477.60/1,095.18
  6. Step 6: Final answer
    x = 967.40

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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.