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Finding the Fourth Proportional to 1,032.41, 1,547.26 and 894.89

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Solution

The fourth proportional to 1,032.41, 1,547.26 and 894.89 is: 1,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.41 : 1,547.26 = 894.89 : x
  2. Step 2: Convert to fraction form
    1,032.41/1,547.26 = 894.89/x
  3. Step 3: Cross multiply
    1,032.41x = 1,547.26 × 894.89
  4. Step 4: Simplify right side
    1,032.41x = 1,384,617.53
  5. Step 5: Solve for x
    x = 1,384,617.53/1,032.41
  6. Step 6: Final answer
    x = 1,341.16

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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.