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Finding the Fourth Proportional to 1,032.65, 1,547.78 and 416.05

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Solution

The fourth proportional to 1,032.65, 1,547.78 and 416.05 is: 623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.65 : 1,547.78 = 416.05 : x
  2. Step 2: Convert to fraction form
    1,032.65/1,547.78 = 416.05/x
  3. Step 3: Cross multiply
    1,032.65x = 1,547.78 × 416.05
  4. Step 4: Simplify right side
    1,032.65x = 643,951.79
  5. Step 5: Solve for x
    x = 643,951.79/1,032.65
  6. Step 6: Final answer
    x = 623.59

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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.