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Finding the Fourth Proportional to 1,032.60, 1,547.71 and 415.91

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Solution

The fourth proportional to 1,032.60, 1,547.71 and 415.91 is: 623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.60 : 1,547.71 = 415.91 : x
  2. Step 2: Convert to fraction form
    1,032.60/1,547.71 = 415.91/x
  3. Step 3: Cross multiply
    1,032.60x = 1,547.71 × 415.91
  4. Step 4: Simplify right side
    1,032.60x = 643,708.07
  5. Step 5: Solve for x
    x = 643,708.07/1,032.60
  6. Step 6: Final answer
    x = 623.39

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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.