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Finding the Fourth Proportional to 1,567.40, 2,349.54 and 785.02

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Solution

The fourth proportional to 1,567.40, 2,349.54 and 785.02 is: 1,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.40 : 2,349.54 = 785.02 : x
  2. Step 2: Convert to fraction form
    1,567.40/2,349.54 = 785.02/x
  3. Step 3: Cross multiply
    1,567.40x = 2,349.54 × 785.02
  4. Step 4: Simplify right side
    1,567.40x = 1,844,424.14
  5. Step 5: Solve for x
    x = 1,844,424.14/1,567.40
  6. Step 6: Final answer
    x = 1,176.74

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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.