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Finding the Fourth Proportional to 1,035.56, 1,547.34 and 783.74

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Solution

The fourth proportional to 1,035.56, 1,547.34 and 783.74 is: 1,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.56 : 1,547.34 = 783.74 : x
  2. Step 2: Convert to fraction form
    1,035.56/1,547.34 = 783.74/x
  3. Step 3: Cross multiply
    1,035.56x = 1,547.34 × 783.74
  4. Step 4: Simplify right side
    1,035.56x = 1,212,712.25
  5. Step 5: Solve for x
    x = 1,212,712.25/1,035.56
  6. Step 6: Final answer
    x = 1,171.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.