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Finding the Fourth Proportional to 1,032.16, 1,547.85 and 641.59

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Solution

The fourth proportional to 1,032.16, 1,547.85 and 641.59 is: 962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.16 : 1,547.85 = 641.59 : x
  2. Step 2: Convert to fraction form
    1,032.16/1,547.85 = 641.59/x
  3. Step 3: Cross multiply
    1,032.16x = 1,547.85 × 641.59
  4. Step 4: Simplify right side
    1,032.16x = 993,085.08
  5. Step 5: Solve for x
    x = 993,085.08/1,032.16
  6. Step 6: Final answer
    x = 962.14

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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.