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Finding the Fourth Proportional to 1,547.36, 2,320.64 and 777.68

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Solution

The fourth proportional to 1,547.36, 2,320.64 and 777.68 is: 1,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.36 : 2,320.64 = 777.68 : x
  2. Step 2: Convert to fraction form
    1,547.36/2,320.64 = 777.68/x
  3. Step 3: Cross multiply
    1,547.36x = 2,320.64 × 777.68
  4. Step 4: Simplify right side
    1,547.36x = 1,804,715.32
  5. Step 5: Solve for x
    x = 1,804,715.32/1,547.36
  6. Step 6: Final answer
    x = 1,166.32

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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.