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Finding the Fourth Proportional to 1,030.84, 1,547.80 and 621.78

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Solution

The fourth proportional to 1,030.84, 1,547.80 and 621.78 is: 933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.84 : 1,547.80 = 621.78 : x
  2. Step 2: Convert to fraction form
    1,030.84/1,547.80 = 621.78/x
  3. Step 3: Cross multiply
    1,030.84x = 1,547.80 × 621.78
  4. Step 4: Simplify right side
    1,030.84x = 962,391.08
  5. Step 5: Solve for x
    x = 962,391.08/1,030.84
  6. Step 6: Final answer
    x = 933.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.