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Finding the Fourth Proportional to 1,357.68, 2,035.68 and 707.52

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Solution

The fourth proportional to 1,357.68, 2,035.68 and 707.52 is: 1,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.68 : 2,035.68 = 707.52 : x
  2. Step 2: Convert to fraction form
    1,357.68/2,035.68 = 707.52/x
  3. Step 3: Cross multiply
    1,357.68x = 2,035.68 × 707.52
  4. Step 4: Simplify right side
    1,357.68x = 1,440,284.31
  5. Step 5: Solve for x
    x = 1,440,284.31/1,357.68
  6. Step 6: Final answer
    x = 1,060.84

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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.